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Finding the Fourth Proportional to 331.72, 456.78 and 330.76

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Solution

The fourth proportional to 331.72, 456.78 and 330.76 is: 455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.72 : 456.78 = 330.76 : x
  2. Step 2: Convert to fraction form
    331.72/456.78 = 330.76/x
  3. Step 3: Cross multiply
    331.72x = 456.78 × 330.76
  4. Step 4: Simplify right side
    331.72x = 151,084.55
  5. Step 5: Solve for x
    x = 151,084.55/331.72
  6. Step 6: Final answer
    x = 455.46

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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.