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Finding the Fourth Proportional to 337.06, 465.41 and 219.09

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Solution

The fourth proportional to 337.06, 465.41 and 219.09 is: 302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.06 : 465.41 = 219.09 : x
  2. Step 2: Convert to fraction form
    337.06/465.41 = 219.09/x
  3. Step 3: Cross multiply
    337.06x = 465.41 × 219.09
  4. Step 4: Simplify right side
    337.06x = 101,965.58
  5. Step 5: Solve for x
    x = 101,965.58/337.06
  6. Step 6: Final answer
    x = 302.52

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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.