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Finding the Fourth Proportional to 694.61, 958.34 and 414.90

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Solution

The fourth proportional to 694.61, 958.34 and 414.90 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.61 : 958.34 = 414.90 : x
  2. Step 2: Convert to fraction form
    694.61/958.34 = 414.90/x
  3. Step 3: Cross multiply
    694.61x = 958.34 × 414.90
  4. Step 4: Simplify right side
    694.61x = 397,613.97
  5. Step 5: Solve for x
    x = 397,613.97/694.61
  6. Step 6: Final answer
    x = 572.42

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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.