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Finding the Fourth Proportional to 619.12, 928.36 and 310.88

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Solution

The fourth proportional to 619.12, 928.36 and 310.88 is: 466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.12 : 928.36 = 310.88 : x
  2. Step 2: Convert to fraction form
    619.12/928.36 = 310.88/x
  3. Step 3: Cross multiply
    619.12x = 928.36 × 310.88
  4. Step 4: Simplify right side
    619.12x = 288,608.56
  5. Step 5: Solve for x
    x = 288,608.56/619.12
  6. Step 6: Final answer
    x = 466.16

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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.