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Finding the Fourth Proportional to 308.68, 460.79 and 297.14

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Solution

The fourth proportional to 308.68, 460.79 and 297.14 is: 443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.68 : 460.79 = 297.14 : x
  2. Step 2: Convert to fraction form
    308.68/460.79 = 297.14/x
  3. Step 3: Cross multiply
    308.68x = 460.79 × 297.14
  4. Step 4: Simplify right side
    308.68x = 136,916.47
  5. Step 5: Solve for x
    x = 136,916.47/308.68
  6. Step 6: Final answer
    x = 443.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.