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Finding the Fourth Proportional to 467.87, 645.41 and 405.59

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Solution

The fourth proportional to 467.87, 645.41 and 405.59 is: 559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.87 : 645.41 = 405.59 : x
  2. Step 2: Convert to fraction form
    467.87/645.41 = 405.59/x
  3. Step 3: Cross multiply
    467.87x = 645.41 × 405.59
  4. Step 4: Simplify right side
    467.87x = 261,766.59
  5. Step 5: Solve for x
    x = 261,766.59/467.87
  6. Step 6: Final answer
    x = 559.49

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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.