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Finding the Fourth Proportional to 378.48, 522.24 and 247.68

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Solution

The fourth proportional to 378.48, 522.24 and 247.68 is: 341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 522.24 = 247.68 : x
  2. Step 2: Convert to fraction form
    378.48/522.24 = 247.68/x
  3. Step 3: Cross multiply
    378.48x = 522.24 × 247.68
  4. Step 4: Simplify right side
    378.48x = 129,348.40
  5. Step 5: Solve for x
    x = 129,348.40/378.48
  6. Step 6: Final answer
    x = 341.76

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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.