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Finding the Fourth Proportional to 549.78, 824.59 and 184.57

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Solution

The fourth proportional to 549.78, 824.59 and 184.57 is: 276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.78 : 824.59 = 184.57 : x
  2. Step 2: Convert to fraction form
    549.78/824.59 = 184.57/x
  3. Step 3: Cross multiply
    549.78x = 824.59 × 184.57
  4. Step 4: Simplify right side
    549.78x = 152,195.84
  5. Step 5: Solve for x
    x = 152,195.84/549.78
  6. Step 6: Final answer
    x = 276.83

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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.