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Finding the Fourth Proportional to 398.50, 549.92 and 223.83

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Solution

The fourth proportional to 398.50, 549.92 and 223.83 is: 308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.50 : 549.92 = 223.83 : x
  2. Step 2: Convert to fraction form
    398.50/549.92 = 223.83/x
  3. Step 3: Cross multiply
    398.50x = 549.92 × 223.83
  4. Step 4: Simplify right side
    398.50x = 123,089.15
  5. Step 5: Solve for x
    x = 123,089.15/398.50
  6. Step 6: Final answer
    x = 308.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.