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Finding the Fourth Proportional to 335.51, 462.87 and 219.27

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Solution

The fourth proportional to 335.51, 462.87 and 219.27 is: 302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.51 : 462.87 = 219.27 : x
  2. Step 2: Convert to fraction form
    335.51/462.87 = 219.27/x
  3. Step 3: Cross multiply
    335.51x = 462.87 × 219.27
  4. Step 4: Simplify right side
    335.51x = 101,493.50
  5. Step 5: Solve for x
    x = 101,493.50/335.51
  6. Step 6: Final answer
    x = 302.51

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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.