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Finding the Fourth Proportional to 549.28, 757.20 and 432.64

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Solution

The fourth proportional to 549.28, 757.20 and 432.64 is: 596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.28 : 757.20 = 432.64 : x
  2. Step 2: Convert to fraction form
    549.28/757.20 = 432.64/x
  3. Step 3: Cross multiply
    549.28x = 757.20 × 432.64
  4. Step 4: Simplify right side
    549.28x = 327,595.01
  5. Step 5: Solve for x
    x = 327,595.01/549.28
  6. Step 6: Final answer
    x = 596.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.