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Finding the Fourth Proportional to 432.38, 648.29 and 285.95

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Solution

The fourth proportional to 432.38, 648.29 and 285.95 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.38 : 648.29 = 285.95 : x
  2. Step 2: Convert to fraction form
    432.38/648.29 = 285.95/x
  3. Step 3: Cross multiply
    432.38x = 648.29 × 285.95
  4. Step 4: Simplify right side
    432.38x = 185,373.85
  5. Step 5: Solve for x
    x = 185,373.85/432.38
  6. Step 6: Final answer
    x = 428.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.