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Finding the Fourth Proportional to 502.92, 693.98 and 295.88

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Solution

The fourth proportional to 502.92, 693.98 and 295.88 is: 408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.92 : 693.98 = 295.88 : x
  2. Step 2: Convert to fraction form
    502.92/693.98 = 295.88/x
  3. Step 3: Cross multiply
    502.92x = 693.98 × 295.88
  4. Step 4: Simplify right side
    502.92x = 205,334.80
  5. Step 5: Solve for x
    x = 205,334.80/502.92
  6. Step 6: Final answer
    x = 408.29

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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.