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Finding the Fourth Proportional to 330.73, 456.45 and 261.02

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Solution

The fourth proportional to 330.73, 456.45 and 261.02 is: 360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.73 : 456.45 = 261.02 : x
  2. Step 2: Convert to fraction form
    330.73/456.45 = 261.02/x
  3. Step 3: Cross multiply
    330.73x = 456.45 × 261.02
  4. Step 4: Simplify right side
    330.73x = 119,142.58
  5. Step 5: Solve for x
    x = 119,142.58/330.73
  6. Step 6: Final answer
    x = 360.24

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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.