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Finding the Fourth Proportional to 717.54, 990.17 and 407.14

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Solution

The fourth proportional to 717.54, 990.17 and 407.14 is: 561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.54 : 990.17 = 407.14 : x
  2. Step 2: Convert to fraction form
    717.54/990.17 = 407.14/x
  3. Step 3: Cross multiply
    717.54x = 990.17 × 407.14
  4. Step 4: Simplify right side
    717.54x = 403,137.81
  5. Step 5: Solve for x
    x = 403,137.81/717.54
  6. Step 6: Final answer
    x = 561.83

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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.