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Finding the Fourth Proportional to 717.54, 990.81 and 497.22

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Solution

The fourth proportional to 717.54, 990.81 and 497.22 is: 686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.54 : 990.81 = 497.22 : x
  2. Step 2: Convert to fraction form
    717.54/990.81 = 497.22/x
  3. Step 3: Cross multiply
    717.54x = 990.81 × 497.22
  4. Step 4: Simplify right side
    717.54x = 492,650.55
  5. Step 5: Solve for x
    x = 492,650.55/717.54
  6. Step 6: Final answer
    x = 686.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.