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Finding the Fourth Proportional to 571.08, 788.24 and 338.36

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Solution

The fourth proportional to 571.08, 788.24 and 338.36 is: 467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.08 : 788.24 = 338.36 : x
  2. Step 2: Convert to fraction form
    571.08/788.24 = 338.36/x
  3. Step 3: Cross multiply
    571.08x = 788.24 × 338.36
  4. Step 4: Simplify right side
    571.08x = 266,708.89
  5. Step 5: Solve for x
    x = 266,708.89/571.08
  6. Step 6: Final answer
    x = 467.03

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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.