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Finding the Fourth Proportional to 552.91, 763.40 and 366.78

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Solution

The fourth proportional to 552.91, 763.40 and 366.78 is: 506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.91 : 763.40 = 366.78 : x
  2. Step 2: Convert to fraction form
    552.91/763.40 = 366.78/x
  3. Step 3: Cross multiply
    552.91x = 763.40 × 366.78
  4. Step 4: Simplify right side
    552.91x = 280,001.53
  5. Step 5: Solve for x
    x = 280,001.53/552.91
  6. Step 6: Final answer
    x = 506.42

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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.