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Finding the Fourth Proportional to 311.85, 466.56 and 311.04

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Solution

The fourth proportional to 311.85, 466.56 and 311.04 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.85 : 466.56 = 311.04 : x
  2. Step 2: Convert to fraction form
    311.85/466.56 = 311.04/x
  3. Step 3: Cross multiply
    311.85x = 466.56 × 311.04
  4. Step 4: Simplify right side
    311.85x = 145,118.82
  5. Step 5: Solve for x
    x = 145,118.82/311.85
  6. Step 6: Final answer
    x = 465.35

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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.