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Finding the Fourth Proportional to 378.71, 522.15 and 247.49

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Solution

The fourth proportional to 378.71, 522.15 and 247.49 is: 341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.71 : 522.15 = 247.49 : x
  2. Step 2: Convert to fraction form
    378.71/522.15 = 247.49/x
  3. Step 3: Cross multiply
    378.71x = 522.15 × 247.49
  4. Step 4: Simplify right side
    378.71x = 129,226.90
  5. Step 5: Solve for x
    x = 129,226.90/378.71
  6. Step 6: Final answer
    x = 341.23

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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.