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Finding the Fourth Proportional to 350.67, 484.00 and 219.45

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Solution

The fourth proportional to 350.67, 484.00 and 219.45 is: 302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.67 : 484.00 = 219.45 : x
  2. Step 2: Convert to fraction form
    350.67/484.00 = 219.45/x
  3. Step 3: Cross multiply
    350.67x = 484.00 × 219.45
  4. Step 4: Simplify right side
    350.67x = 106,213.25
  5. Step 5: Solve for x
    x = 106,213.25/350.67
  6. Step 6: Final answer
    x = 302.89

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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.