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Finding the Fourth Proportional to 508.98, 762.86 and 234.69

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Solution

The fourth proportional to 508.98, 762.86 and 234.69 is: 351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.98 : 762.86 = 234.69 : x
  2. Step 2: Convert to fraction form
    508.98/762.86 = 234.69/x
  3. Step 3: Cross multiply
    508.98x = 762.86 × 234.69
  4. Step 4: Simplify right side
    508.98x = 179,034.44
  5. Step 5: Solve for x
    x = 179,034.44/508.98
  6. Step 6: Final answer
    x = 351.75

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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.