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Finding the Fourth Proportional to 502.45, 754.08 and 259.05

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Solution

The fourth proportional to 502.45, 754.08 and 259.05 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.45 : 754.08 = 259.05 : x
  2. Step 2: Convert to fraction form
    502.45/754.08 = 259.05/x
  3. Step 3: Cross multiply
    502.45x = 754.08 × 259.05
  4. Step 4: Simplify right side
    502.45x = 195,344.22
  5. Step 5: Solve for x
    x = 195,344.22/502.45
  6. Step 6: Final answer
    x = 388.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.