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Finding the Fourth Proportional to 552.94, 762.82 and 363.83

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Solution

The fourth proportional to 552.94, 762.82 and 363.83 is: 501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.94 : 762.82 = 363.83 : x
  2. Step 2: Convert to fraction form
    552.94/762.82 = 363.83/x
  3. Step 3: Cross multiply
    552.94x = 762.82 × 363.83
  4. Step 4: Simplify right side
    552.94x = 277,532.08
  5. Step 5: Solve for x
    x = 277,532.08/552.94
  6. Step 6: Final answer
    x = 501.92

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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.