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Finding the Fourth Proportional to 717.27, 989.75 and 402.47

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Solution

The fourth proportional to 717.27, 989.75 and 402.47 is: 555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.27 : 989.75 = 402.47 : x
  2. Step 2: Convert to fraction form
    717.27/989.75 = 402.47/x
  3. Step 3: Cross multiply
    717.27x = 989.75 × 402.47
  4. Step 4: Simplify right side
    717.27x = 398,341.09
  5. Step 5: Solve for x
    x = 398,341.09/717.27
  6. Step 6: Final answer
    x = 555.36

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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.