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Finding the Fourth Proportional to 619.56, 928.12 and 311.20

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Solution

The fourth proportional to 619.56, 928.12 and 311.20 is: 466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.56 : 928.12 = 311.20 : x
  2. Step 2: Convert to fraction form
    619.56/928.12 = 311.20/x
  3. Step 3: Cross multiply
    619.56x = 928.12 × 311.20
  4. Step 4: Simplify right side
    619.56x = 288,830.94
  5. Step 5: Solve for x
    x = 288,830.94/619.56
  6. Step 6: Final answer
    x = 466.19

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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.