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Finding the Fourth Proportional to 549.27, 824.40 and 257.13

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Solution

The fourth proportional to 549.27, 824.40 and 257.13 is: 385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.27 : 824.40 = 257.13 : x
  2. Step 2: Convert to fraction form
    549.27/824.40 = 257.13/x
  3. Step 3: Cross multiply
    549.27x = 824.40 × 257.13
  4. Step 4: Simplify right side
    549.27x = 211,977.97
  5. Step 5: Solve for x
    x = 211,977.97/549.27
  6. Step 6: Final answer
    x = 385.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.