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Finding the Fourth Proportional to 399.44, 594.82 and 388.64

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Solution

The fourth proportional to 399.44, 594.82 and 388.64 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.44 : 594.82 = 388.64 : x
  2. Step 2: Convert to fraction form
    399.44/594.82 = 388.64/x
  3. Step 3: Cross multiply
    399.44x = 594.82 × 388.64
  4. Step 4: Simplify right side
    399.44x = 231,170.84
  5. Step 5: Solve for x
    x = 231,170.84/399.44
  6. Step 6: Final answer
    x = 578.74

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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.