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Finding the Fourth Proportional to 363.28, 541.42 and 360.26

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Solution

The fourth proportional to 363.28, 541.42 and 360.26 is: 536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.28 : 541.42 = 360.26 : x
  2. Step 2: Convert to fraction form
    363.28/541.42 = 360.26/x
  3. Step 3: Cross multiply
    363.28x = 541.42 × 360.26
  4. Step 4: Simplify right side
    363.28x = 195,051.97
  5. Step 5: Solve for x
    x = 195,051.97/363.28
  6. Step 6: Final answer
    x = 536.92

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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.