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Finding the Fourth Proportional to 506.12, 759.17 and 209.57

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Solution

The fourth proportional to 506.12, 759.17 and 209.57 is: 314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 759.17 = 209.57 : x
  2. Step 2: Convert to fraction form
    506.12/759.17 = 209.57/x
  3. Step 3: Cross multiply
    506.12x = 759.17 × 209.57
  4. Step 4: Simplify right side
    506.12x = 159,094.41
  5. Step 5: Solve for x
    x = 159,094.41/506.12
  6. Step 6: Final answer
    x = 314.34

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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.