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Finding the Fourth Proportional to 694.67, 958.56 and 432.59

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Solution

The fourth proportional to 694.67, 958.56 and 432.59 is: 596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.67 : 958.56 = 432.59 : x
  2. Step 2: Convert to fraction form
    694.67/958.56 = 432.59/x
  3. Step 3: Cross multiply
    694.67x = 958.56 × 432.59
  4. Step 4: Simplify right side
    694.67x = 414,663.47
  5. Step 5: Solve for x
    x = 414,663.47/694.67
  6. Step 6: Final answer
    x = 596.92

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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.