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Finding the Fourth Proportional to 619.26, 928.59 and 229.45

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Solution

The fourth proportional to 619.26, 928.59 and 229.45 is: 344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.26 : 928.59 = 229.45 : x
  2. Step 2: Convert to fraction form
    619.26/928.59 = 229.45/x
  3. Step 3: Cross multiply
    619.26x = 928.59 × 229.45
  4. Step 4: Simplify right side
    619.26x = 213,064.83
  5. Step 5: Solve for x
    x = 213,064.83/619.26
  6. Step 6: Final answer
    x = 344.06

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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.