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Finding the Fourth Proportional to 362.33, 541.17 and 313.73

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Solution

The fourth proportional to 362.33, 541.17 and 313.73 is: 468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.33 : 541.17 = 313.73 : x
  2. Step 2: Convert to fraction form
    362.33/541.17 = 313.73/x
  3. Step 3: Cross multiply
    362.33x = 541.17 × 313.73
  4. Step 4: Simplify right side
    362.33x = 169,776.99
  5. Step 5: Solve for x
    x = 169,776.99/362.33
  6. Step 6: Final answer
    x = 468.58

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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.