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Finding the Fourth Proportional to 500.09, 687.84 and 401.63

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Solution

The fourth proportional to 500.09, 687.84 and 401.63 is: 552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.09 : 687.84 = 401.63 : x
  2. Step 2: Convert to fraction form
    500.09/687.84 = 401.63/x
  3. Step 3: Cross multiply
    500.09x = 687.84 × 401.63
  4. Step 4: Simplify right side
    500.09x = 276,257.18
  5. Step 5: Solve for x
    x = 276,257.18/500.09
  6. Step 6: Final answer
    x = 552.41

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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.