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Finding the Fourth Proportional to 362.44, 541.31 and 313.84

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Solution

The fourth proportional to 362.44, 541.31 and 313.84 is: 468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.44 : 541.31 = 313.84 : x
  2. Step 2: Convert to fraction form
    362.44/541.31 = 313.84/x
  3. Step 3: Cross multiply
    362.44x = 541.31 × 313.84
  4. Step 4: Simplify right side
    362.44x = 169,884.73
  5. Step 5: Solve for x
    x = 169,884.73/362.44
  6. Step 6: Final answer
    x = 468.73

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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.