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Finding the Fourth Proportional to 308.90, 463.49 and 296.62

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Solution

The fourth proportional to 308.90, 463.49 and 296.62 is: 445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.90 : 463.49 = 296.62 : x
  2. Step 2: Convert to fraction form
    308.90/463.49 = 296.62/x
  3. Step 3: Cross multiply
    308.90x = 463.49 × 296.62
  4. Step 4: Simplify right side
    308.90x = 137,480.40
  5. Step 5: Solve for x
    x = 137,480.40/308.90
  6. Step 6: Final answer
    x = 445.06

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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.