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Finding the Fourth Proportional to 619.33, 929.10 and 311.11

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Solution

The fourth proportional to 619.33, 929.10 and 311.11 is: 466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.33 : 929.10 = 311.11 : x
  2. Step 2: Convert to fraction form
    619.33/929.10 = 311.11/x
  3. Step 3: Cross multiply
    619.33x = 929.10 × 311.11
  4. Step 4: Simplify right side
    619.33x = 289,052.30
  5. Step 5: Solve for x
    x = 289,052.30/619.33
  6. Step 6: Final answer
    x = 466.72

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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.