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Finding the Fourth Proportional to 644.96, 967.86 and 439.76

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Solution

The fourth proportional to 644.96, 967.86 and 439.76 is: 659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.96 : 967.86 = 439.76 : x
  2. Step 2: Convert to fraction form
    644.96/967.86 = 439.76/x
  3. Step 3: Cross multiply
    644.96x = 967.86 × 439.76
  4. Step 4: Simplify right side
    644.96x = 425,626.11
  5. Step 5: Solve for x
    x = 425,626.11/644.96
  6. Step 6: Final answer
    x = 659.93

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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.