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Finding the Fourth Proportional to 717.02, 989.45 and 406.52

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Solution

The fourth proportional to 717.02, 989.45 and 406.52 is: 560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.02 : 989.45 = 406.52 : x
  2. Step 2: Convert to fraction form
    717.02/989.45 = 406.52/x
  3. Step 3: Cross multiply
    717.02x = 989.45 × 406.52
  4. Step 4: Simplify right side
    717.02x = 402,226.27
  5. Step 5: Solve for x
    x = 402,226.27/717.02
  6. Step 6: Final answer
    x = 560.97

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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.