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Finding the Fourth Proportional to 310.95, 464.46 and 233.51

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Solution

The fourth proportional to 310.95, 464.46 and 233.51 is: 348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.95 : 464.46 = 233.51 : x
  2. Step 2: Convert to fraction form
    310.95/464.46 = 233.51/x
  3. Step 3: Cross multiply
    310.95x = 464.46 × 233.51
  4. Step 4: Simplify right side
    310.95x = 108,453.73
  5. Step 5: Solve for x
    x = 108,453.73/310.95
  6. Step 6: Final answer
    x = 348.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.