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Finding the Fourth Proportional to 520.77, 719.30 and 411.69

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Solution

The fourth proportional to 520.77, 719.30 and 411.69 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.77 : 719.30 = 411.69 : x
  2. Step 2: Convert to fraction form
    520.77/719.30 = 411.69/x
  3. Step 3: Cross multiply
    520.77x = 719.30 × 411.69
  4. Step 4: Simplify right side
    520.77x = 296,128.62
  5. Step 5: Solve for x
    x = 296,128.62/520.77
  6. Step 6: Final answer
    x = 568.64

Related Problems

Find fourth proportional to 260.39, 359.65 and 205.85
Half scale
Find fourth proportional to 1,041.54, 1,438.60 and 823.38
Double scale
Find fourth proportional to 521.77, 720.68 and 412.69
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.