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Finding the Fourth Proportional to 509.20, 763.43 and 234.91

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Solution

The fourth proportional to 509.20, 763.43 and 234.91 is: 352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.20 : 763.43 = 234.91 : x
  2. Step 2: Convert to fraction form
    509.20/763.43 = 234.91/x
  3. Step 3: Cross multiply
    509.20x = 763.43 × 234.91
  4. Step 4: Simplify right side
    509.20x = 179,336.02
  5. Step 5: Solve for x
    x = 179,336.02/509.20
  6. Step 6: Final answer
    x = 352.19

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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.