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Finding the Fourth Proportional to 308.40, 462.74 and 296.12

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Solution

The fourth proportional to 308.40, 462.74 and 296.12 is: 444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.40 : 462.74 = 296.12 : x
  2. Step 2: Convert to fraction form
    308.40/462.74 = 296.12/x
  3. Step 3: Cross multiply
    308.40x = 462.74 × 296.12
  4. Step 4: Simplify right side
    308.40x = 137,022.77
  5. Step 5: Solve for x
    x = 137,022.77/308.40
  6. Step 6: Final answer
    x = 444.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.