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Finding the Fourth Proportional to 619.42, 928.94 and 229.46

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Solution

The fourth proportional to 619.42, 928.94 and 229.46 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.42 : 928.94 = 229.46 : x
  2. Step 2: Convert to fraction form
    619.42/928.94 = 229.46/x
  3. Step 3: Cross multiply
    619.42x = 928.94 × 229.46
  4. Step 4: Simplify right side
    619.42x = 213,154.57
  5. Step 5: Solve for x
    x = 213,154.57/619.42
  6. Step 6: Final answer
    x = 344.12

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