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Finding the Fourth Proportional to 331.62, 457.48 and 233.52

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Solution

The fourth proportional to 331.62, 457.48 and 233.52 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.62 : 457.48 = 233.52 : x
  2. Step 2: Convert to fraction form
    331.62/457.48 = 233.52/x
  3. Step 3: Cross multiply
    331.62x = 457.48 × 233.52
  4. Step 4: Simplify right side
    331.62x = 106,830.73
  5. Step 5: Solve for x
    x = 106,830.73/331.62
  6. Step 6: Final answer
    x = 322.15

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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.