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Finding the Fourth Proportional to 691.29, 953.85 and 411.59

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Solution

The fourth proportional to 691.29, 953.85 and 411.59 is: 567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.29 : 953.85 = 411.59 : x
  2. Step 2: Convert to fraction form
    691.29/953.85 = 411.59/x
  3. Step 3: Cross multiply
    691.29x = 953.85 × 411.59
  4. Step 4: Simplify right side
    691.29x = 392,595.12
  5. Step 5: Solve for x
    x = 392,595.12/691.29
  6. Step 6: Final answer
    x = 567.92

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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.