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Finding the Fourth Proportional to 432.39, 645.43 and 375.02

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Solution

The fourth proportional to 432.39, 645.43 and 375.02 is: 559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.39 : 645.43 = 375.02 : x
  2. Step 2: Convert to fraction form
    432.39/645.43 = 375.02/x
  3. Step 3: Cross multiply
    432.39x = 645.43 × 375.02
  4. Step 4: Simplify right side
    432.39x = 242,044.99
  5. Step 5: Solve for x
    x = 242,044.99/432.39
  6. Step 6: Final answer
    x = 559.78

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Why These Related Problems?

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