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Finding the Fourth Proportional to 502.68, 693.84 and 327.96

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Solution

The fourth proportional to 502.68, 693.84 and 327.96 is: 452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.68 : 693.84 = 327.96 : x
  2. Step 2: Convert to fraction form
    502.68/693.84 = 327.96/x
  3. Step 3: Cross multiply
    502.68x = 693.84 × 327.96
  4. Step 4: Simplify right side
    502.68x = 227,551.77
  5. Step 5: Solve for x
    x = 227,551.77/502.68
  6. Step 6: Final answer
    x = 452.68

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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.