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Finding the Fourth Proportional to 549.46, 824.46 and 261.10

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Solution

The fourth proportional to 549.46, 824.46 and 261.10 is: 391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.46 : 824.46 = 261.10 : x
  2. Step 2: Convert to fraction form
    549.46/824.46 = 261.10/x
  3. Step 3: Cross multiply
    549.46x = 824.46 × 261.10
  4. Step 4: Simplify right side
    549.46x = 215,266.51
  5. Step 5: Solve for x
    x = 215,266.51/549.46
  6. Step 6: Final answer
    x = 391.78

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Why These Related Problems?

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