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Finding the Fourth Proportional to 691.29, 953.97 and 411.66

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Solution

The fourth proportional to 691.29, 953.97 and 411.66 is: 568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.29 : 953.97 = 411.66 : x
  2. Step 2: Convert to fraction form
    691.29/953.97 = 411.66/x
  3. Step 3: Cross multiply
    691.29x = 953.97 × 411.66
  4. Step 4: Simplify right side
    691.29x = 392,711.29
  5. Step 5: Solve for x
    x = 392,711.29/691.29
  6. Step 6: Final answer
    x = 568.08

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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.