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Finding the Fourth Proportional to 360.15, 496.49 and 282.39

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Solution

The fourth proportional to 360.15, 496.49 and 282.39 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.15 : 496.49 = 282.39 : x
  2. Step 2: Convert to fraction form
    360.15/496.49 = 282.39/x
  3. Step 3: Cross multiply
    360.15x = 496.49 × 282.39
  4. Step 4: Simplify right side
    360.15x = 140,203.81
  5. Step 5: Solve for x
    x = 140,203.81/360.15
  6. Step 6: Final answer
    x = 389.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.