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Finding the Fourth Proportional to 360.15, 540.24 and 299.71

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Solution

The fourth proportional to 360.15, 540.24 and 299.71 is: 449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.15 : 540.24 = 299.71 : x
  2. Step 2: Convert to fraction form
    360.15/540.24 = 299.71/x
  3. Step 3: Cross multiply
    360.15x = 540.24 × 299.71
  4. Step 4: Simplify right side
    360.15x = 161,913.98
  5. Step 5: Solve for x
    x = 161,913.98/360.15
  6. Step 6: Final answer
    x = 449.57

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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.