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Finding the Fourth Proportional to 360.26, 495.69 and 352.07

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Solution

The fourth proportional to 360.26, 495.69 and 352.07 is: 484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.26 : 495.69 = 352.07 : x
  2. Step 2: Convert to fraction form
    360.26/495.69 = 352.07/x
  3. Step 3: Cross multiply
    360.26x = 495.69 × 352.07
  4. Step 4: Simplify right side
    360.26x = 174,517.58
  5. Step 5: Solve for x
    x = 174,517.58/360.26
  6. Step 6: Final answer
    x = 484.42

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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.