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Finding the Fourth Proportional to 644.85, 966.56 and 298.08

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Solution

The fourth proportional to 644.85, 966.56 and 298.08 is: 446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.85 : 966.56 = 298.08 : x
  2. Step 2: Convert to fraction form
    644.85/966.56 = 298.08/x
  3. Step 3: Cross multiply
    644.85x = 966.56 × 298.08
  4. Step 4: Simplify right side
    644.85x = 288,110.71
  5. Step 5: Solve for x
    x = 288,110.71/644.85
  6. Step 6: Final answer
    x = 446.79

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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.