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Finding the Fourth Proportional to 600.12, 827.93 and 363.90

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Solution

The fourth proportional to 600.12, 827.93 and 363.90 is: 502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 827.93 = 363.90 : x
  2. Step 2: Convert to fraction form
    600.12/827.93 = 363.90/x
  3. Step 3: Cross multiply
    600.12x = 827.93 × 363.90
  4. Step 4: Simplify right side
    600.12x = 301,281.91
  5. Step 5: Solve for x
    x = 301,281.91/600.12
  6. Step 6: Final answer
    x = 502.04

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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.