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Finding the Fourth Proportional to 400.22, 596.94 and 388.07

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Solution

The fourth proportional to 400.22, 596.94 and 388.07 is: 578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.22 : 596.94 = 388.07 : x
  2. Step 2: Convert to fraction form
    400.22/596.94 = 388.07/x
  3. Step 3: Cross multiply
    400.22x = 596.94 × 388.07
  4. Step 4: Simplify right side
    400.22x = 231,651.52
  5. Step 5: Solve for x
    x = 231,651.52/400.22
  6. Step 6: Final answer
    x = 578.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.