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Finding the Fourth Proportional to 662.84, 993.78 and 311.32

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Solution

The fourth proportional to 662.84, 993.78 and 311.32 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.84 : 993.78 = 311.32 : x
  2. Step 2: Convert to fraction form
    662.84/993.78 = 311.32/x
  3. Step 3: Cross multiply
    662.84x = 993.78 × 311.32
  4. Step 4: Simplify right side
    662.84x = 309,381.11
  5. Step 5: Solve for x
    x = 309,381.11/662.84
  6. Step 6: Final answer
    x = 466.75

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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.