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Finding the Fourth Proportional to 694.27, 958.13 and 414.55

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Solution

The fourth proportional to 694.27, 958.13 and 414.55 is: 572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.27 : 958.13 = 414.55 : x
  2. Step 2: Convert to fraction form
    694.27/958.13 = 414.55/x
  3. Step 3: Cross multiply
    694.27x = 958.13 × 414.55
  4. Step 4: Simplify right side
    694.27x = 397,193.47
  5. Step 5: Solve for x
    x = 397,193.47/694.27
  6. Step 6: Final answer
    x = 572.10

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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.