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Finding the Fourth Proportional to 335.45, 462.78 and 230.68

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Solution

The fourth proportional to 335.45, 462.78 and 230.68 is: 318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.45 : 462.78 = 230.68 : x
  2. Step 2: Convert to fraction form
    335.45/462.78 = 230.68/x
  3. Step 3: Cross multiply
    335.45x = 462.78 × 230.68
  4. Step 4: Simplify right side
    335.45x = 106,754.18
  5. Step 5: Solve for x
    x = 106,754.18/335.45
  6. Step 6: Final answer
    x = 318.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.