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Finding the Fourth Proportional to 644.98, 966.69 and 297.84

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Solution

The fourth proportional to 644.98, 966.69 and 297.84 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.98 : 966.69 = 297.84 : x
  2. Step 2: Convert to fraction form
    644.98/966.69 = 297.84/x
  3. Step 3: Cross multiply
    644.98x = 966.69 × 297.84
  4. Step 4: Simplify right side
    644.98x = 287,918.95
  5. Step 5: Solve for x
    x = 287,918.95/644.98
  6. Step 6: Final answer
    x = 446.40

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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.