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Finding the Fourth Proportional to 432.52, 645.61 and 375.14

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Solution

The fourth proportional to 432.52, 645.61 and 375.14 is: 559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.52 : 645.61 = 375.14 : x
  2. Step 2: Convert to fraction form
    432.52/645.61 = 375.14/x
  3. Step 3: Cross multiply
    432.52x = 645.61 × 375.14
  4. Step 4: Simplify right side
    432.52x = 242,195.54
  5. Step 5: Solve for x
    x = 242,195.54/432.52
  6. Step 6: Final answer
    x = 559.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.