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Finding the Fourth Proportional to 644.84, 967.32 and 212.08

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Solution

The fourth proportional to 644.84, 967.32 and 212.08 is: 318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.84 : 967.32 = 212.08 : x
  2. Step 2: Convert to fraction form
    644.84/967.32 = 212.08/x
  3. Step 3: Cross multiply
    644.84x = 967.32 × 212.08
  4. Step 4: Simplify right side
    644.84x = 205,149.23
  5. Step 5: Solve for x
    x = 205,149.23/644.84
  6. Step 6: Final answer
    x = 318.14

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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.