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Finding the Fourth Proportional to 645.07, 967.75 and 212.20

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Solution

The fourth proportional to 645.07, 967.75 and 212.20 is: 318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.07 : 967.75 = 212.20 : x
  2. Step 2: Convert to fraction form
    645.07/967.75 = 212.20/x
  3. Step 3: Cross multiply
    645.07x = 967.75 × 212.20
  4. Step 4: Simplify right side
    645.07x = 205,356.55
  5. Step 5: Solve for x
    x = 205,356.55/645.07
  6. Step 6: Final answer
    x = 318.35

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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.