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Finding the Fourth Proportional to 335.28, 462.56 and 237.12

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Solution

The fourth proportional to 335.28, 462.56 and 237.12 is: 327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.28 : 462.56 = 237.12 : x
  2. Step 2: Convert to fraction form
    335.28/462.56 = 237.12/x
  3. Step 3: Cross multiply
    335.28x = 462.56 × 237.12
  4. Step 4: Simplify right side
    335.28x = 109,682.23
  5. Step 5: Solve for x
    x = 109,682.23/335.28
  6. Step 6: Final answer
    x = 327.14

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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.