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Finding the Fourth Proportional to 717.73, 990.49 and 465.71

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Solution

The fourth proportional to 717.73, 990.49 and 465.71 is: 642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.73 : 990.49 = 465.71 : x
  2. Step 2: Convert to fraction form
    717.73/990.49 = 465.71/x
  3. Step 3: Cross multiply
    717.73x = 990.49 × 465.71
  4. Step 4: Simplify right side
    717.73x = 461,281.10
  5. Step 5: Solve for x
    x = 461,281.10/717.73
  6. Step 6: Final answer
    x = 642.69

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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.