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Finding the Fourth Proportional to 552.38, 828.13 and 378.52

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Solution

The fourth proportional to 552.38, 828.13 and 378.52 is: 567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.38 : 828.13 = 378.52 : x
  2. Step 2: Convert to fraction form
    552.38/828.13 = 378.52/x
  3. Step 3: Cross multiply
    552.38x = 828.13 × 378.52
  4. Step 4: Simplify right side
    552.38x = 313,463.77
  5. Step 5: Solve for x
    x = 313,463.77/552.38
  6. Step 6: Final answer
    x = 567.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.