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Finding the Fourth Proportional to 467.44, 644.36 and 411.85

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Solution

The fourth proportional to 467.44, 644.36 and 411.85 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.44 : 644.36 = 411.85 : x
  2. Step 2: Convert to fraction form
    467.44/644.36 = 411.85/x
  3. Step 3: Cross multiply
    467.44x = 644.36 × 411.85
  4. Step 4: Simplify right side
    467.44x = 265,378.41
  5. Step 5: Solve for x
    x = 265,378.41/467.44
  6. Step 6: Final answer
    x = 567.73

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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.