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Finding the Fourth Proportional to 414.53, 572.08 and 248.74

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Solution

The fourth proportional to 414.53, 572.08 and 248.74 is: 343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.53 : 572.08 = 248.74 : x
  2. Step 2: Convert to fraction form
    414.53/572.08 = 248.74/x
  3. Step 3: Cross multiply
    414.53x = 572.08 × 248.74
  4. Step 4: Simplify right side
    414.53x = 142,299.18
  5. Step 5: Solve for x
    x = 142,299.18/414.53
  6. Step 6: Final answer
    x = 343.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.