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Finding the Fourth Proportional to 600.02, 827.80 and 363.88

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Solution

The fourth proportional to 600.02, 827.80 and 363.88 is: 502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.02 : 827.80 = 363.88 : x
  2. Step 2: Convert to fraction form
    600.02/827.80 = 363.88/x
  3. Step 3: Cross multiply
    600.02x = 827.80 × 363.88
  4. Step 4: Simplify right side
    600.02x = 301,219.86
  5. Step 5: Solve for x
    x = 301,219.86/600.02
  6. Step 6: Final answer
    x = 502.02

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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.