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Finding the Fourth Proportional to 596.21, 822.96 and 502.92

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Solution

The fourth proportional to 596.21, 822.96 and 502.92 is: 694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.21 : 822.96 = 502.92 : x
  2. Step 2: Convert to fraction form
    596.21/822.96 = 502.92/x
  3. Step 3: Cross multiply
    596.21x = 822.96 × 502.92
  4. Step 4: Simplify right side
    596.21x = 413,883.04
  5. Step 5: Solve for x
    x = 413,883.04/596.21
  6. Step 6: Final answer
    x = 694.20

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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.