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Finding the Fourth Proportional to 694.29, 958.29 and 432.15

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Solution

The fourth proportional to 694.29, 958.29 and 432.15 is: 596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.29 : 958.29 = 432.15 : x
  2. Step 2: Convert to fraction form
    694.29/958.29 = 432.15/x
  3. Step 3: Cross multiply
    694.29x = 958.29 × 432.15
  4. Step 4: Simplify right side
    694.29x = 414,125.02
  5. Step 5: Solve for x
    x = 414,125.02/694.29
  6. Step 6: Final answer
    x = 596.47

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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.