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Finding the Fourth Proportional to 694.62, 958.15 and 414.66

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Solution

The fourth proportional to 694.62, 958.15 and 414.66 is: 571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.62 : 958.15 = 414.66 : x
  2. Step 2: Convert to fraction form
    694.62/958.15 = 414.66/x
  3. Step 3: Cross multiply
    694.62x = 958.15 × 414.66
  4. Step 4: Simplify right side
    694.62x = 397,306.48
  5. Step 5: Solve for x
    x = 397,306.48/694.62
  6. Step 6: Final answer
    x = 571.98

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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.