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Finding the Fourth Proportional to 335.30, 462.78 and 202.52

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Solution

The fourth proportional to 335.30, 462.78 and 202.52 is: 279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.30 : 462.78 = 202.52 : x
  2. Step 2: Convert to fraction form
    335.30/462.78 = 202.52/x
  3. Step 3: Cross multiply
    335.30x = 462.78 × 202.52
  4. Step 4: Simplify right side
    335.30x = 93,722.21
  5. Step 5: Solve for x
    x = 93,722.21/335.30
  6. Step 6: Final answer
    x = 279.52

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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.