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Finding the Fourth Proportional to 398.03, 549.32 and 232.30

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Solution

The fourth proportional to 398.03, 549.32 and 232.30 is: 320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.03 : 549.32 = 232.30 : x
  2. Step 2: Convert to fraction form
    398.03/549.32 = 232.30/x
  3. Step 3: Cross multiply
    398.03x = 549.32 × 232.30
  4. Step 4: Simplify right side
    398.03x = 127,604.50
  5. Step 5: Solve for x
    x = 127,604.50/398.03
  6. Step 6: Final answer
    x = 320.59

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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.