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Finding the Fourth Proportional to 398.54, 549.86 and 232.70

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Solution

The fourth proportional to 398.54, 549.86 and 232.70 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.54 : 549.86 = 232.70 : x
  2. Step 2: Convert to fraction form
    398.54/549.86 = 232.70/x
  3. Step 3: Cross multiply
    398.54x = 549.86 × 232.70
  4. Step 4: Simplify right side
    398.54x = 127,952.42
  5. Step 5: Solve for x
    x = 127,952.42/398.54
  6. Step 6: Final answer
    x = 321.05

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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.