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Finding the Fourth Proportional to 549.52, 824.36 and 260.88

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Solution

The fourth proportional to 549.52, 824.36 and 260.88 is: 391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.52 : 824.36 = 260.88 : x
  2. Step 2: Convert to fraction form
    549.52/824.36 = 260.88/x
  3. Step 3: Cross multiply
    549.52x = 824.36 × 260.88
  4. Step 4: Simplify right side
    549.52x = 215,059.04
  5. Step 5: Solve for x
    x = 215,059.04/549.52
  6. Step 6: Final answer
    x = 391.36

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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.