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Finding the Fourth Proportional to 466.15, 697.84 and 311.70

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Solution

The fourth proportional to 466.15, 697.84 and 311.70 is: 466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.15 : 697.84 = 311.70 : x
  2. Step 2: Convert to fraction form
    466.15/697.84 = 311.70/x
  3. Step 3: Cross multiply
    466.15x = 697.84 × 311.70
  4. Step 4: Simplify right side
    466.15x = 217,516.73
  5. Step 5: Solve for x
    x = 217,516.73/466.15
  6. Step 6: Final answer
    x = 466.62

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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.