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Finding the Fourth Proportional to 571.17, 788.22 and 338.25

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Solution

The fourth proportional to 571.17, 788.22 and 338.25 is: 466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.17 : 788.22 = 338.25 : x
  2. Step 2: Convert to fraction form
    571.17/788.22 = 338.25/x
  3. Step 3: Cross multiply
    571.17x = 788.22 × 338.25
  4. Step 4: Simplify right side
    571.17x = 266,615.42
  5. Step 5: Solve for x
    x = 266,615.42/571.17
  6. Step 6: Final answer
    x = 466.79

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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.