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Finding the Fourth Proportional to 717.14, 989.49 and 406.58

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Solution

The fourth proportional to 717.14, 989.49 and 406.58 is: 560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.14 : 989.49 = 406.58 : x
  2. Step 2: Convert to fraction form
    717.14/989.49 = 406.58/x
  3. Step 3: Cross multiply
    717.14x = 989.49 × 406.58
  4. Step 4: Simplify right side
    717.14x = 402,306.84
  5. Step 5: Solve for x
    x = 402,306.84/717.14
  6. Step 6: Final answer
    x = 560.99

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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.