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Finding the Fourth Proportional to 414.74, 572.21 and 248.99

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Solution

The fourth proportional to 414.74, 572.21 and 248.99 is: 343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.74 : 572.21 = 248.99 : x
  2. Step 2: Convert to fraction form
    414.74/572.21 = 248.99/x
  3. Step 3: Cross multiply
    414.74x = 572.21 × 248.99
  4. Step 4: Simplify right side
    414.74x = 142,470.46
  5. Step 5: Solve for x
    x = 142,470.46/414.74
  6. Step 6: Final answer
    x = 343.52

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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.