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Finding the Fourth Proportional to 502.91, 694.00 and 281.85

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Solution

The fourth proportional to 502.91, 694.00 and 281.85 is: 388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.91 : 694.00 = 281.85 : x
  2. Step 2: Convert to fraction form
    502.91/694.00 = 281.85/x
  3. Step 3: Cross multiply
    502.91x = 694.00 × 281.85
  4. Step 4: Simplify right side
    502.91x = 195,601.65
  5. Step 5: Solve for x
    x = 195,601.65/502.91
  6. Step 6: Final answer
    x = 388.94

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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.