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Finding the Fourth Proportional to 691.61, 954.27 and 411.75

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Solution

The fourth proportional to 691.61, 954.27 and 411.75 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.61 : 954.27 = 411.75 : x
  2. Step 2: Convert to fraction form
    691.61/954.27 = 411.75/x
  3. Step 3: Cross multiply
    691.61x = 954.27 × 411.75
  4. Step 4: Simplify right side
    691.61x = 392,920.67
  5. Step 5: Solve for x
    x = 392,920.67/691.61
  6. Step 6: Final answer
    x = 568.13

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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.