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Finding the Fourth Proportional to 353.97, 488.53 and 223.05

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Solution

The fourth proportional to 353.97, 488.53 and 223.05 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.97 : 488.53 = 223.05 : x
  2. Step 2: Convert to fraction form
    353.97/488.53 = 223.05/x
  3. Step 3: Cross multiply
    353.97x = 488.53 × 223.05
  4. Step 4: Simplify right side
    353.97x = 108,968.73
  5. Step 5: Solve for x
    x = 108,968.73/353.97
  6. Step 6: Final answer
    x = 307.85

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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.