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Finding the Fourth Proportional to 395.97, 594.06 and 266.46

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Solution

The fourth proportional to 395.97, 594.06 and 266.46 is: 399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.97 : 594.06 = 266.46 : x
  2. Step 2: Convert to fraction form
    395.97/594.06 = 266.46/x
  3. Step 3: Cross multiply
    395.97x = 594.06 × 266.46
  4. Step 4: Simplify right side
    395.97x = 158,293.23
  5. Step 5: Solve for x
    x = 158,293.23/395.97
  6. Step 6: Final answer
    x = 399.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.