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Finding the Fourth Proportional to 502.65, 693.65 and 281.60

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Solution

The fourth proportional to 502.65, 693.65 and 281.60 is: 388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.65 : 693.65 = 281.60 : x
  2. Step 2: Convert to fraction form
    502.65/693.65 = 281.60/x
  3. Step 3: Cross multiply
    502.65x = 693.65 × 281.60
  4. Step 4: Simplify right side
    502.65x = 195,334.28
  5. Step 5: Solve for x
    x = 195,334.28/502.65
  6. Step 6: Final answer
    x = 388.61

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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.