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Finding the Fourth Proportional to 432.08, 596.40 and 276.96

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Solution

The fourth proportional to 432.08, 596.40 and 276.96 is: 382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.08 : 596.40 = 276.96 : x
  2. Step 2: Convert to fraction form
    432.08/596.40 = 276.96/x
  3. Step 3: Cross multiply
    432.08x = 596.40 × 276.96
  4. Step 4: Simplify right side
    432.08x = 165,178.94
  5. Step 5: Solve for x
    x = 165,178.94/432.08
  6. Step 6: Final answer
    x = 382.29

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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.