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Finding the Fourth Proportional to 502.45, 693.39 and 281.41

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Solution

The fourth proportional to 502.45, 693.39 and 281.41 is: 388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.45 : 693.39 = 281.41 : x
  2. Step 2: Convert to fraction form
    502.45/693.39 = 281.41/x
  3. Step 3: Cross multiply
    502.45x = 693.39 × 281.41
  4. Step 4: Simplify right side
    502.45x = 195,126.88
  5. Step 5: Solve for x
    x = 195,126.88/502.45
  6. Step 6: Final answer
    x = 388.35

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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.