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Finding the Fourth Proportional to 352.25, 483.62 and 343.22

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Solution

The fourth proportional to 352.25, 483.62 and 343.22 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.25 : 483.62 = 343.22 : x
  2. Step 2: Convert to fraction form
    352.25/483.62 = 343.22/x
  3. Step 3: Cross multiply
    352.25x = 483.62 × 343.22
  4. Step 4: Simplify right side
    352.25x = 165,986.50
  5. Step 5: Solve for x
    x = 165,986.50/352.25
  6. Step 6: Final answer
    x = 471.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.