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Finding the Fourth Proportional to 352.28, 485.75 and 286.66

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Solution

The fourth proportional to 352.28, 485.75 and 286.66 is: 395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.28 : 485.75 = 286.66 : x
  2. Step 2: Convert to fraction form
    352.28/485.75 = 286.66/x
  3. Step 3: Cross multiply
    352.28x = 485.75 × 286.66
  4. Step 4: Simplify right side
    352.28x = 139,245.10
  5. Step 5: Solve for x
    x = 139,245.10/352.28
  6. Step 6: Final answer
    x = 395.27

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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.