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Finding the Fourth Proportional to 506.46, 759.78 and 218.10

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Solution

The fourth proportional to 506.46, 759.78 and 218.10 is: 327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.46 : 759.78 = 218.10 : x
  2. Step 2: Convert to fraction form
    506.46/759.78 = 218.10/x
  3. Step 3: Cross multiply
    506.46x = 759.78 × 218.10
  4. Step 4: Simplify right side
    506.46x = 165,708.02
  5. Step 5: Solve for x
    x = 165,708.02/506.46
  6. Step 6: Final answer
    x = 327.19

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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.