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Finding the Fourth Proportional to 335.14, 462.85 and 288.63

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Solution

The fourth proportional to 335.14, 462.85 and 288.63 is: 398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.14 : 462.85 = 288.63 : x
  2. Step 2: Convert to fraction form
    335.14/462.85 = 288.63/x
  3. Step 3: Cross multiply
    335.14x = 462.85 × 288.63
  4. Step 4: Simplify right side
    335.14x = 133,591.67
  5. Step 5: Solve for x
    x = 133,591.67/335.14
  6. Step 6: Final answer
    x = 398.62

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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.