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Finding the Fourth Proportional to 644.56, 967.14 and 297.68

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Solution

The fourth proportional to 644.56, 967.14 and 297.68 is: 446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.56 : 967.14 = 297.68 : x
  2. Step 2: Convert to fraction form
    644.56/967.14 = 297.68/x
  3. Step 3: Cross multiply
    644.56x = 967.14 × 297.68
  4. Step 4: Simplify right side
    644.56x = 287,893.40
  5. Step 5: Solve for x
    x = 287,893.40/644.56
  6. Step 6: Final answer
    x = 446.65

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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.