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Finding the Fourth Proportional to 378.80, 522.68 and 240.72

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Solution

The fourth proportional to 378.80, 522.68 and 240.72 is: 332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.80 : 522.68 = 240.72 : x
  2. Step 2: Convert to fraction form
    378.80/522.68 = 240.72/x
  3. Step 3: Cross multiply
    378.80x = 522.68 × 240.72
  4. Step 4: Simplify right side
    378.80x = 125,819.53
  5. Step 5: Solve for x
    x = 125,819.53/378.80
  6. Step 6: Final answer
    x = 332.15

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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.