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Finding the Fourth Proportional to 335.76, 463.28 and 219.52

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Solution

The fourth proportional to 335.76, 463.28 and 219.52 is: 302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.76 : 463.28 = 219.52 : x
  2. Step 2: Convert to fraction form
    335.76/463.28 = 219.52/x
  3. Step 3: Cross multiply
    335.76x = 463.28 × 219.52
  4. Step 4: Simplify right side
    335.76x = 101,699.23
  5. Step 5: Solve for x
    x = 101,699.23/335.76
  6. Step 6: Final answer
    x = 302.89

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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.