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Finding the Fourth Proportional to 571.20, 788.22 and 338.28

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Solution

The fourth proportional to 571.20, 788.22 and 338.28 is: 466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.20 : 788.22 = 338.28 : x
  2. Step 2: Convert to fraction form
    571.20/788.22 = 338.28/x
  3. Step 3: Cross multiply
    571.20x = 788.22 × 338.28
  4. Step 4: Simplify right side
    571.20x = 266,639.06
  5. Step 5: Solve for x
    x = 266,639.06/571.20
  6. Step 6: Final answer
    x = 466.81

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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.