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Finding the Fourth Proportional to 508.98, 763.44 and 200.82

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Solution

The fourth proportional to 508.98, 763.44 and 200.82 is: 301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.98 : 763.44 = 200.82 : x
  2. Step 2: Convert to fraction form
    508.98/763.44 = 200.82/x
  3. Step 3: Cross multiply
    508.98x = 763.44 × 200.82
  4. Step 4: Simplify right side
    508.98x = 153,314.02
  5. Step 5: Solve for x
    x = 153,314.02/508.98
  6. Step 6: Final answer
    x = 301.22

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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.