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Finding the Fourth Proportional to 508.66, 762.80 and 200.41

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Solution

The fourth proportional to 508.66, 762.80 and 200.41 is: 300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.66 : 762.80 = 200.41 : x
  2. Step 2: Convert to fraction form
    508.66/762.80 = 200.41/x
  3. Step 3: Cross multiply
    508.66x = 762.80 × 200.41
  4. Step 4: Simplify right side
    508.66x = 152,872.75
  5. Step 5: Solve for x
    x = 152,872.75/508.66
  6. Step 6: Final answer
    x = 300.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.