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Finding the Fourth Proportional to 619.03, 928.45 and 229.22

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Solution

The fourth proportional to 619.03, 928.45 and 229.22 is: 343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.03 : 928.45 = 229.22 : x
  2. Step 2: Convert to fraction form
    619.03/928.45 = 229.22/x
  3. Step 3: Cross multiply
    619.03x = 928.45 × 229.22
  4. Step 4: Simplify right side
    619.03x = 212,813.52
  5. Step 5: Solve for x
    x = 212,813.52/619.03
  6. Step 6: Final answer
    x = 343.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.