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Finding the Fourth Proportional to 694.43, 958.32 and 414.79

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Solution

The fourth proportional to 694.43, 958.32 and 414.79 is: 572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.43 : 958.32 = 414.79 : x
  2. Step 2: Convert to fraction form
    694.43/958.32 = 414.79/x
  3. Step 3: Cross multiply
    694.43x = 958.32 × 414.79
  4. Step 4: Simplify right side
    694.43x = 397,499.16
  5. Step 5: Solve for x
    x = 397,499.16/694.43
  6. Step 6: Final answer
    x = 572.41

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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.