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Finding the Fourth Proportional to 717.52, 990.16 and 407.04

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Solution

The fourth proportional to 717.52, 990.16 and 407.04 is: 561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.52 : 990.16 = 407.04 : x
  2. Step 2: Convert to fraction form
    717.52/990.16 = 407.04/x
  3. Step 3: Cross multiply
    717.52x = 990.16 × 407.04
  4. Step 4: Simplify right side
    717.52x = 403,034.73
  5. Step 5: Solve for x
    x = 403,034.73/717.52
  6. Step 6: Final answer
    x = 561.71

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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.