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Finding the Fourth Proportional to 549, 823.04 and 224.60

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Solution

The fourth proportional to 549, 823.04 and 224.60 is: 336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    549 : 823.04 = 224.60 : x
  2. Step 2: Convert to fraction form
    549/823.04 = 224.60/x
  3. Step 3: Cross multiply
    549x = 823.04 × 224.60
  4. Step 4: Simplify right side
    549x = 184,854.78
  5. Step 5: Solve for x
    x = 184,854.78/549
  6. Step 6: Final answer
    x = 336.71

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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.