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Finding the Fourth Proportional to 308.12, 460.48 and 264.76

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Solution

The fourth proportional to 308.12, 460.48 and 264.76 is: 395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.12 : 460.48 = 264.76 : x
  2. Step 2: Convert to fraction form
    308.12/460.48 = 264.76/x
  3. Step 3: Cross multiply
    308.12x = 460.48 × 264.76
  4. Step 4: Simplify right side
    308.12x = 121,916.68
  5. Step 5: Solve for x
    x = 121,916.68/308.12
  6. Step 6: Final answer
    x = 395.68

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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.