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Finding the Fourth Proportional to 500.76, 689.85 and 411.66

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Solution

The fourth proportional to 500.76, 689.85 and 411.66 is: 567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 689.85 = 411.66 : x
  2. Step 2: Convert to fraction form
    500.76/689.85 = 411.66/x
  3. Step 3: Cross multiply
    500.76x = 689.85 × 411.66
  4. Step 4: Simplify right side
    500.76x = 283,983.65
  5. Step 5: Solve for x
    x = 283,983.65/500.76
  6. Step 6: Final answer
    x = 567.11

Related Problems

Find fourth proportional to 250.38, 344.93 and 205.83
Half scale
Find fourth proportional to 1,001.52, 1,379.70 and 823.32
Double scale
Find fourth proportional to 501.76, 691.23 and 412.66
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.