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Finding the Fourth Proportional to 360.78, 540.24 and 299.73

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Solution

The fourth proportional to 360.78, 540.24 and 299.73 is: 448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.78 : 540.24 = 299.73 : x
  2. Step 2: Convert to fraction form
    360.78/540.24 = 299.73/x
  3. Step 3: Cross multiply
    360.78x = 540.24 × 299.73
  4. Step 4: Simplify right side
    360.78x = 161,926.14
  5. Step 5: Solve for x
    x = 161,926.14/360.78
  6. Step 6: Final answer
    x = 448.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.