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Finding the Fourth Proportional to 397.98, 549.22 and 232.24

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Solution

The fourth proportional to 397.98, 549.22 and 232.24 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 549.22 = 232.24 : x
  2. Step 2: Convert to fraction form
    397.98/549.22 = 232.24/x
  3. Step 3: Cross multiply
    397.98x = 549.22 × 232.24
  4. Step 4: Simplify right side
    397.98x = 127,550.85
  5. Step 5: Solve for x
    x = 127,550.85/397.98
  6. Step 6: Final answer
    x = 320.50

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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.