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Finding the Fourth Proportional to 502.75, 693.84 and 295.79

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Solution

The fourth proportional to 502.75, 693.84 and 295.79 is: 408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.75 : 693.84 = 295.79 : x
  2. Step 2: Convert to fraction form
    502.75/693.84 = 295.79/x
  3. Step 3: Cross multiply
    502.75x = 693.84 × 295.79
  4. Step 4: Simplify right side
    502.75x = 205,229.45
  5. Step 5: Solve for x
    x = 205,229.45/502.75
  6. Step 6: Final answer
    x = 408.21

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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.