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Finding the Fourth Proportional to 552.38, 827.84 and 292.33

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Solution

The fourth proportional to 552.38, 827.84 and 292.33 is: 438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.38 : 827.84 = 292.33 : x
  2. Step 2: Convert to fraction form
    552.38/827.84 = 292.33/x
  3. Step 3: Cross multiply
    552.38x = 827.84 × 292.33
  4. Step 4: Simplify right side
    552.38x = 241,996.87
  5. Step 5: Solve for x
    x = 241,996.87/552.38
  6. Step 6: Final answer
    x = 438.10

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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.