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Finding the Fourth Proportional to 330.96, 454.68 and 296.44

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Solution

The fourth proportional to 330.96, 454.68 and 296.44 is: 407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 454.68 = 296.44 : x
  2. Step 2: Convert to fraction form
    330.96/454.68 = 296.44/x
  3. Step 3: Cross multiply
    330.96x = 454.68 × 296.44
  4. Step 4: Simplify right side
    330.96x = 134,785.34
  5. Step 5: Solve for x
    x = 134,785.34/330.96
  6. Step 6: Final answer
    x = 407.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.