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Finding the Fourth Proportional to 571.72, 788.88 and 338.90

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Solution

The fourth proportional to 571.72, 788.88 and 338.90 is: 467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.72 : 788.88 = 338.90 : x
  2. Step 2: Convert to fraction form
    571.72/788.88 = 338.90/x
  3. Step 3: Cross multiply
    571.72x = 788.88 × 338.90
  4. Step 4: Simplify right side
    571.72x = 267,351.43
  5. Step 5: Solve for x
    x = 267,351.43/571.72
  6. Step 6: Final answer
    x = 467.63

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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.