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Finding the Fourth Proportional to 398.21, 549.56 and 232.46

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Solution

The fourth proportional to 398.21, 549.56 and 232.46 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.21 : 549.56 = 232.46 : x
  2. Step 2: Convert to fraction form
    398.21/549.56 = 232.46/x
  3. Step 3: Cross multiply
    398.21x = 549.56 × 232.46
  4. Step 4: Simplify right side
    398.21x = 127,750.93
  5. Step 5: Solve for x
    x = 127,750.93/398.21
  6. Step 6: Final answer
    x = 320.82

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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.