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Finding the Fourth Proportional to 432.56, 596.24 and 277.04

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Solution

The fourth proportional to 432.56, 596.24 and 277.04 is: 381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 596.24 = 277.04 : x
  2. Step 2: Convert to fraction form
    432.56/596.24 = 277.04/x
  3. Step 3: Cross multiply
    432.56x = 596.24 × 277.04
  4. Step 4: Simplify right side
    432.56x = 165,182.33
  5. Step 5: Solve for x
    x = 165,182.33/432.56
  6. Step 6: Final answer
    x = 381.87

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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.