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Finding the Fourth Proportional to 644.20, 888.78 and 411.46

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Solution

The fourth proportional to 644.20, 888.78 and 411.46 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.20 : 888.78 = 411.46 : x
  2. Step 2: Convert to fraction form
    644.20/888.78 = 411.46/x
  3. Step 3: Cross multiply
    644.20x = 888.78 × 411.46
  4. Step 4: Simplify right side
    644.20x = 365,697.42
  5. Step 5: Solve for x
    x = 365,697.42/644.20
  6. Step 6: Final answer
    x = 567.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.