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Finding the Fourth Proportional to 330.19, 455.97 and 232.18

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Solution

The fourth proportional to 330.19, 455.97 and 232.18 is: 320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.19 : 455.97 = 232.18 : x
  2. Step 2: Convert to fraction form
    330.19/455.97 = 232.18/x
  3. Step 3: Cross multiply
    330.19x = 455.97 × 232.18
  4. Step 4: Simplify right side
    330.19x = 105,867.11
  5. Step 5: Solve for x
    x = 105,867.11/330.19
  6. Step 6: Final answer
    x = 320.62

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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.