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Finding the Fourth Proportional to 330.80, 456.35 and 232.62

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Solution

The fourth proportional to 330.80, 456.35 and 232.62 is: 320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.80 : 456.35 = 232.62 : x
  2. Step 2: Convert to fraction form
    330.80/456.35 = 232.62/x
  3. Step 3: Cross multiply
    330.80x = 456.35 × 232.62
  4. Step 4: Simplify right side
    330.80x = 106,153.86
  5. Step 5: Solve for x
    x = 106,153.86/330.80
  6. Step 6: Final answer
    x = 320.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.