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Finding the Fourth Proportional to 644.92, 967.77 and 274.71

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Solution

The fourth proportional to 644.92, 967.77 and 274.71 is: 412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.92 : 967.77 = 274.71 : x
  2. Step 2: Convert to fraction form
    644.92/967.77 = 274.71/x
  3. Step 3: Cross multiply
    644.92x = 967.77 × 274.71
  4. Step 4: Simplify right side
    644.92x = 265,856.10
  5. Step 5: Solve for x
    x = 265,856.10/644.92
  6. Step 6: Final answer
    x = 412.23

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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.