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Finding the Fourth Proportional to 352.51, 486.35 and 219.73

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Solution

The fourth proportional to 352.51, 486.35 and 219.73 is: 303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.51 : 486.35 = 219.73 : x
  2. Step 2: Convert to fraction form
    352.51/486.35 = 219.73/x
  3. Step 3: Cross multiply
    352.51x = 486.35 × 219.73
  4. Step 4: Simplify right side
    352.51x = 106,863.60
  5. Step 5: Solve for x
    x = 106,863.60/352.51
  6. Step 6: Final answer
    x = 303.15

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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.