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Finding the Fourth Proportional to 691.11, 953.37 and 411.27

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Solution

The fourth proportional to 691.11, 953.37 and 411.27 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.11 : 953.37 = 411.27 : x
  2. Step 2: Convert to fraction form
    691.11/953.37 = 411.27/x
  3. Step 3: Cross multiply
    691.11x = 953.37 × 411.27
  4. Step 4: Simplify right side
    691.11x = 392,092.48
  5. Step 5: Solve for x
    x = 392,092.48/691.11
  6. Step 6: Final answer
    x = 567.34

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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.