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Finding the Fourth Proportional to 360.02, 496.32 and 282.26

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Solution

The fourth proportional to 360.02, 496.32 and 282.26 is: 389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.02 : 496.32 = 282.26 : x
  2. Step 2: Convert to fraction form
    360.02/496.32 = 282.26/x
  3. Step 3: Cross multiply
    360.02x = 496.32 × 282.26
  4. Step 4: Simplify right side
    360.02x = 140,091.28
  5. Step 5: Solve for x
    x = 140,091.28/360.02
  6. Step 6: Final answer
    x = 389.12

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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.