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Finding the Fourth Proportional to 502.88, 694.00 and 293.19

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Solution

The fourth proportional to 502.88, 694.00 and 293.19 is: 404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.88 : 694.00 = 293.19 : x
  2. Step 2: Convert to fraction form
    502.88/694.00 = 293.19/x
  3. Step 3: Cross multiply
    502.88x = 694.00 × 293.19
  4. Step 4: Simplify right side
    502.88x = 203,471.62
  5. Step 5: Solve for x
    x = 203,471.62/502.88
  6. Step 6: Final answer
    x = 404.62

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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.