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Finding the Fourth Proportional to 506, 759 and 217.46

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Solution

The fourth proportional to 506, 759 and 217.46 is: 326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 759 = 217.46 : x
  2. Step 2: Convert to fraction form
    506/759 = 217.46/x
  3. Step 3: Cross multiply
    506x = 759 × 217.46
  4. Step 4: Simplify right side
    506x = 165,052.14
  5. Step 5: Solve for x
    x = 165,052.14/506
  6. Step 6: Final answer
    x = 326.19

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Why These Related Problems?

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