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Finding the Fourth Proportional to 335.28, 462.60 and 218.94

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Solution

The fourth proportional to 335.28, 462.60 and 218.94 is: 302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.28 : 462.60 = 218.94 : x
  2. Step 2: Convert to fraction form
    335.28/462.60 = 218.94/x
  3. Step 3: Cross multiply
    335.28x = 462.60 × 218.94
  4. Step 4: Simplify right side
    335.28x = 101,281.64
  5. Step 5: Solve for x
    x = 101,281.64/335.28
  6. Step 6: Final answer
    x = 302.08

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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.