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Finding the Fourth Proportional to 500.76, 691.14 and 304.28

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Solution

The fourth proportional to 500.76, 691.14 and 304.28 is: 419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 691.14 = 304.28 : x
  2. Step 2: Convert to fraction form
    500.76/691.14 = 304.28/x
  3. Step 3: Cross multiply
    500.76x = 691.14 × 304.28
  4. Step 4: Simplify right side
    500.76x = 210,300.08
  5. Step 5: Solve for x
    x = 210,300.08/500.76
  6. Step 6: Final answer
    x = 419.96

Related Problems

Find fourth proportional to 250.38, 345.57 and 152.14
Half scale
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Double scale
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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.