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Finding the Fourth Proportional to 502.94, 694.05 and 281.87

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Solution

The fourth proportional to 502.94, 694.05 and 281.87 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.94 : 694.05 = 281.87 : x
  2. Step 2: Convert to fraction form
    502.94/694.05 = 281.87/x
  3. Step 3: Cross multiply
    502.94x = 694.05 × 281.87
  4. Step 4: Simplify right side
    502.94x = 195,631.87
  5. Step 5: Solve for x
    x = 195,631.87/502.94
  6. Step 6: Final answer
    x = 388.98

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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.