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Finding the Fourth Proportional to 644.68, 967.19 and 279.39

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Solution

The fourth proportional to 644.68, 967.19 and 279.39 is: 419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.68 : 967.19 = 279.39 : x
  2. Step 2: Convert to fraction form
    644.68/967.19 = 279.39/x
  3. Step 3: Cross multiply
    644.68x = 967.19 × 279.39
  4. Step 4: Simplify right side
    644.68x = 270,223.21
  5. Step 5: Solve for x
    x = 270,223.21/644.68
  6. Step 6: Final answer
    x = 419.16

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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.