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Finding the Fourth Proportional to 552.90, 827.40 and 378.74

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Solution

The fourth proportional to 552.90, 827.40 and 378.74 is: 566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.90 : 827.40 = 378.74 : x
  2. Step 2: Convert to fraction form
    552.90/827.40 = 378.74/x
  3. Step 3: Cross multiply
    552.90x = 827.40 × 378.74
  4. Step 4: Simplify right side
    552.90x = 313,369.48
  5. Step 5: Solve for x
    x = 313,369.48/552.90
  6. Step 6: Final answer
    x = 566.77

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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.