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Finding the Fourth Proportional to 644.91, 966.52 and 298.20

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Solution

The fourth proportional to 644.91, 966.52 and 298.20 is: 446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.91 : 966.52 = 298.20 : x
  2. Step 2: Convert to fraction form
    644.91/966.52 = 298.20/x
  3. Step 3: Cross multiply
    644.91x = 966.52 × 298.20
  4. Step 4: Simplify right side
    644.91x = 288,216.26
  5. Step 5: Solve for x
    x = 288,216.26/644.91
  6. Step 6: Final answer
    x = 446.91

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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.