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Finding the Fourth Proportional to 694.60, 958.74 and 432.48

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Solution

The fourth proportional to 694.60, 958.74 and 432.48 is: 596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.60 : 958.74 = 432.48 : x
  2. Step 2: Convert to fraction form
    694.60/958.74 = 432.48/x
  3. Step 3: Cross multiply
    694.60x = 958.74 × 432.48
  4. Step 4: Simplify right side
    694.60x = 414,635.88
  5. Step 5: Solve for x
    x = 414,635.88/694.60
  6. Step 6: Final answer
    x = 596.94

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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.