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Finding the Fourth Proportional to 352.47, 486.39 and 219.63

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Solution

The fourth proportional to 352.47, 486.39 and 219.63 is: 303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.47 : 486.39 = 219.63 : x
  2. Step 2: Convert to fraction form
    352.47/486.39 = 219.63/x
  3. Step 3: Cross multiply
    352.47x = 486.39 × 219.63
  4. Step 4: Simplify right side
    352.47x = 106,825.84
  5. Step 5: Solve for x
    x = 106,825.84/352.47
  6. Step 6: Final answer
    x = 303.08

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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.