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Finding the Fourth Proportional to 378.60, 522.24 and 247.44

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Solution

The fourth proportional to 378.60, 522.24 and 247.44 is: 341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 522.24 = 247.44 : x
  2. Step 2: Convert to fraction form
    378.60/522.24 = 247.44/x
  3. Step 3: Cross multiply
    378.60x = 522.24 × 247.44
  4. Step 4: Simplify right side
    378.60x = 129,223.07
  5. Step 5: Solve for x
    x = 129,223.07/378.60
  6. Step 6: Final answer
    x = 341.32

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Why These Related Problems?

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