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Finding the Fourth Proportional to 508.40, 762.28 and 219.92

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Solution

The fourth proportional to 508.40, 762.28 and 219.92 is: 329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.40 : 762.28 = 219.92 : x
  2. Step 2: Convert to fraction form
    508.40/762.28 = 219.92/x
  3. Step 3: Cross multiply
    508.40x = 762.28 × 219.92
  4. Step 4: Simplify right side
    508.40x = 167,640.62
  5. Step 5: Solve for x
    x = 167,640.62/508.40
  6. Step 6: Final answer
    x = 329.74

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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.