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Finding the Fourth Proportional to 549.72, 757.44 and 456.12

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Solution

The fourth proportional to 549.72, 757.44 and 456.12 is: 628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 757.44 = 456.12 : x
  2. Step 2: Convert to fraction form
    549.72/757.44 = 456.12/x
  3. Step 3: Cross multiply
    549.72x = 757.44 × 456.12
  4. Step 4: Simplify right side
    549.72x = 345,483.53
  5. Step 5: Solve for x
    x = 345,483.53/549.72
  6. Step 6: Final answer
    x = 628.47

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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.