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Finding the Fourth Proportional to 599.83, 827.58 and 363.86

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Solution

The fourth proportional to 599.83, 827.58 and 363.86 is: 502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.83 : 827.58 = 363.86 : x
  2. Step 2: Convert to fraction form
    599.83/827.58 = 363.86/x
  3. Step 3: Cross multiply
    599.83x = 827.58 × 363.86
  4. Step 4: Simplify right side
    599.83x = 301,123.26
  5. Step 5: Solve for x
    x = 301,123.26/599.83
  6. Step 6: Final answer
    x = 502.01

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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.