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Finding the Fourth Proportional to 691.62, 954.23 and 411.71

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Solution

The fourth proportional to 691.62, 954.23 and 411.71 is: 568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.62 : 954.23 = 411.71 : x
  2. Step 2: Convert to fraction form
    691.62/954.23 = 411.71/x
  3. Step 3: Cross multiply
    691.62x = 954.23 × 411.71
  4. Step 4: Simplify right side
    691.62x = 392,867.90
  5. Step 5: Solve for x
    x = 392,867.90/691.62
  6. Step 6: Final answer
    x = 568.04

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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.