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Finding the Fourth Proportional to 549.47, 757.45 and 451.06

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Solution

The fourth proportional to 549.47, 757.45 and 451.06 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.47 : 757.45 = 451.06 : x
  2. Step 2: Convert to fraction form
    549.47/757.45 = 451.06/x
  3. Step 3: Cross multiply
    549.47x = 757.45 × 451.06
  4. Step 4: Simplify right side
    549.47x = 341,652.38
  5. Step 5: Solve for x
    x = 341,652.38/549.47
  6. Step 6: Final answer
    x = 621.78

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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.