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Finding the Fourth Proportional to 508.39, 762.18 and 219.63

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Solution

The fourth proportional to 508.39, 762.18 and 219.63 is: 329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.39 : 762.18 = 219.63 : x
  2. Step 2: Convert to fraction form
    508.39/762.18 = 219.63/x
  3. Step 3: Cross multiply
    508.39x = 762.18 × 219.63
  4. Step 4: Simplify right side
    508.39x = 167,397.59
  5. Step 5: Solve for x
    x = 167,397.59/508.39
  6. Step 6: Final answer
    x = 329.27

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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.