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Finding the Fourth Proportional to 337.65, 465.80 and 219.62

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Solution

The fourth proportional to 337.65, 465.80 and 219.62 is: 302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.65 : 465.80 = 219.62 : x
  2. Step 2: Convert to fraction form
    337.65/465.80 = 219.62/x
  3. Step 3: Cross multiply
    337.65x = 465.80 × 219.62
  4. Step 4: Simplify right side
    337.65x = 102,295.57
  5. Step 5: Solve for x
    x = 102,295.57/337.65
  6. Step 6: Final answer
    x = 302.96

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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.