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Finding the Fourth Proportional to 502.53, 693.52 and 281.50

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Solution

The fourth proportional to 502.53, 693.52 and 281.50 is: 388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.53 : 693.52 = 281.50 : x
  2. Step 2: Convert to fraction form
    502.53/693.52 = 281.50/x
  3. Step 3: Cross multiply
    502.53x = 693.52 × 281.50
  4. Step 4: Simplify right side
    502.53x = 195,224.47
  5. Step 5: Solve for x
    x = 195,224.47/502.53
  6. Step 6: Final answer
    x = 388.48

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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.