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Finding the Fourth Proportional to 330.76, 456.68 and 295.68

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Solution

The fourth proportional to 330.76, 456.68 and 295.68 is: 408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.76 : 456.68 = 295.68 : x
  2. Step 2: Convert to fraction form
    330.76/456.68 = 295.68/x
  3. Step 3: Cross multiply
    330.76x = 456.68 × 295.68
  4. Step 4: Simplify right side
    330.76x = 135,029.66
  5. Step 5: Solve for x
    x = 135,029.66/330.76
  6. Step 6: Final answer
    x = 408.24

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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.