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Finding the Fourth Proportional to 509.26, 763.87 and 162.61

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Solution

The fourth proportional to 509.26, 763.87 and 162.61 is: 243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.26 : 763.87 = 162.61 : x
  2. Step 2: Convert to fraction form
    509.26/763.87 = 162.61/x
  3. Step 3: Cross multiply
    509.26x = 763.87 × 162.61
  4. Step 4: Simplify right side
    509.26x = 124,212.90
  5. Step 5: Solve for x
    x = 124,212.90/509.26
  6. Step 6: Final answer
    x = 243.91

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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.