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Finding the Fourth Proportional to 432.38, 596.52 and 266.54

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Solution

The fourth proportional to 432.38, 596.52 and 266.54 is: 367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.38 : 596.52 = 266.54 : x
  2. Step 2: Convert to fraction form
    432.38/596.52 = 266.54/x
  3. Step 3: Cross multiply
    432.38x = 596.52 × 266.54
  4. Step 4: Simplify right side
    432.38x = 158,996.44
  5. Step 5: Solve for x
    x = 158,996.44/432.38
  6. Step 6: Final answer
    x = 367.72

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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.