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Finding the Fourth Proportional to 571.38, 788.22 and 338.46

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Solution

The fourth proportional to 571.38, 788.22 and 338.46 is: 466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 788.22 = 338.46 : x
  2. Step 2: Convert to fraction form
    571.38/788.22 = 338.46/x
  3. Step 3: Cross multiply
    571.38x = 788.22 × 338.46
  4. Step 4: Simplify right side
    571.38x = 266,780.94
  5. Step 5: Solve for x
    x = 266,780.94/571.38
  6. Step 6: Final answer
    x = 466.91

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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.