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Finding the Fourth Proportional to 398.06, 549.23 and 232.30

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Solution

The fourth proportional to 398.06, 549.23 and 232.30 is: 320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.06 : 549.23 = 232.30 : x
  2. Step 2: Convert to fraction form
    398.06/549.23 = 232.30/x
  3. Step 3: Cross multiply
    398.06x = 549.23 × 232.30
  4. Step 4: Simplify right side
    398.06x = 127,583.87
  5. Step 5: Solve for x
    x = 127,583.87/398.06
  6. Step 6: Final answer
    x = 320.52

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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.