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Finding the Fourth Proportional to 334.89, 462.32 and 230.02

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Solution

The fourth proportional to 334.89, 462.32 and 230.02 is: 317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.89 : 462.32 = 230.02 : x
  2. Step 2: Convert to fraction form
    334.89/462.32 = 230.02/x
  3. Step 3: Cross multiply
    334.89x = 462.32 × 230.02
  4. Step 4: Simplify right side
    334.89x = 106,340.54
  5. Step 5: Solve for x
    x = 106,340.54/334.89
  6. Step 6: Final answer
    x = 317.54

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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.