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Finding the Fourth Proportional to 335.75, 462.93 and 230.86

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Solution

The fourth proportional to 335.75, 462.93 and 230.86 is: 318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.75 : 462.93 = 230.86 : x
  2. Step 2: Convert to fraction form
    335.75/462.93 = 230.86/x
  3. Step 3: Cross multiply
    335.75x = 462.93 × 230.86
  4. Step 4: Simplify right side
    335.75x = 106,869.71
  5. Step 5: Solve for x
    x = 106,869.71/335.75
  6. Step 6: Final answer
    x = 318.30

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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.