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Finding the Fourth Proportional to 717.67, 990.31 and 402.97

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Solution

The fourth proportional to 717.67, 990.31 and 402.97 is: 556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.67 : 990.31 = 402.97 : x
  2. Step 2: Convert to fraction form
    717.67/990.31 = 402.97/x
  3. Step 3: Cross multiply
    717.67x = 990.31 × 402.97
  4. Step 4: Simplify right side
    717.67x = 399,062.39
  5. Step 5: Solve for x
    x = 399,062.39/717.67
  6. Step 6: Final answer
    x = 556.05

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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.