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Finding the Fourth Proportional to 335.75, 463.61 and 219.52

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Solution

The fourth proportional to 335.75, 463.61 and 219.52 is: 303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.75 : 463.61 = 219.52 : x
  2. Step 2: Convert to fraction form
    335.75/463.61 = 219.52/x
  3. Step 3: Cross multiply
    335.75x = 463.61 × 219.52
  4. Step 4: Simplify right side
    335.75x = 101,768.25
  5. Step 5: Solve for x
    x = 101,768.25/335.75
  6. Step 6: Final answer
    x = 303.11

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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.