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Finding the Fourth Proportional to 335.68, 463.20 and 219.28

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Solution

The fourth proportional to 335.68, 463.20 and 219.28 is: 302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.68 : 463.20 = 219.28 : x
  2. Step 2: Convert to fraction form
    335.68/463.20 = 219.28/x
  3. Step 3: Cross multiply
    335.68x = 463.20 × 219.28
  4. Step 4: Simplify right side
    335.68x = 101,570.50
  5. Step 5: Solve for x
    x = 101,570.50/335.68
  6. Step 6: Final answer
    x = 302.58

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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.