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Finding the Fourth Proportional to 644.73, 967.09 and 437.83

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Solution

The fourth proportional to 644.73, 967.09 and 437.83 is: 656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.73 : 967.09 = 437.83 : x
  2. Step 2: Convert to fraction form
    644.73/967.09 = 437.83/x
  3. Step 3: Cross multiply
    644.73x = 967.09 × 437.83
  4. Step 4: Simplify right side
    644.73x = 423,421.04
  5. Step 5: Solve for x
    x = 423,421.04/644.73
  6. Step 6: Final answer
    x = 656.74

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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.