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Finding the Fourth Proportional to 337.94, 466.46 and 219.92

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Solution

The fourth proportional to 337.94, 466.46 and 219.92 is: 303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.94 : 466.46 = 219.92 : x
  2. Step 2: Convert to fraction form
    337.94/466.46 = 219.92/x
  3. Step 3: Cross multiply
    337.94x = 466.46 × 219.92
  4. Step 4: Simplify right side
    337.94x = 102,581.28
  5. Step 5: Solve for x
    x = 102,581.28/337.94
  6. Step 6: Final answer
    x = 303.55

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Why These Related Problems?

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