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Finding the Fourth Proportional to 502.60, 693.49 and 281.51

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Solution

The fourth proportional to 502.60, 693.49 and 281.51 is: 388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 693.49 = 281.51 : x
  2. Step 2: Convert to fraction form
    502.60/693.49 = 281.51/x
  3. Step 3: Cross multiply
    502.60x = 693.49 × 281.51
  4. Step 4: Simplify right side
    502.60x = 195,224.37
  5. Step 5: Solve for x
    x = 195,224.37/502.60
  6. Step 6: Final answer
    x = 388.43

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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.