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Finding the Fourth Proportional to 337.69, 466.28 and 219.75

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Solution

The fourth proportional to 337.69, 466.28 and 219.75 is: 303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 466.28 = 219.75 : x
  2. Step 2: Convert to fraction form
    337.69/466.28 = 219.75/x
  3. Step 3: Cross multiply
    337.69x = 466.28 × 219.75
  4. Step 4: Simplify right side
    337.69x = 102,463.01
  5. Step 5: Solve for x
    x = 102,463.01/337.69
  6. Step 6: Final answer
    x = 303.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.