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Finding the Fourth Proportional to 509.22, 763.86 and 200.82

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Solution

The fourth proportional to 509.22, 763.86 and 200.82 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.22 : 763.86 = 200.82 : x
  2. Step 2: Convert to fraction form
    509.22/763.86 = 200.82/x
  3. Step 3: Cross multiply
    509.22x = 763.86 × 200.82
  4. Step 4: Simplify right side
    509.22x = 153,398.37
  5. Step 5: Solve for x
    x = 153,398.37/509.22
  6. Step 6: Final answer
    x = 301.24

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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.