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Finding the Fourth Proportional to 645.05, 967.66 and 212.20

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Solution

The fourth proportional to 645.05, 967.66 and 212.20 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.05 : 967.66 = 212.20 : x
  2. Step 2: Convert to fraction form
    645.05/967.66 = 212.20/x
  3. Step 3: Cross multiply
    645.05x = 967.66 × 212.20
  4. Step 4: Simplify right side
    645.05x = 205,334.50
  5. Step 5: Solve for x
    x = 205,334.50/645.05
  6. Step 6: Final answer
    x = 318.32

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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.