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Finding the Fourth Proportional to 571.38, 788.70 and 338.50

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Solution

The fourth proportional to 571.38, 788.70 and 338.50 is: 467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 788.70 = 338.50 : x
  2. Step 2: Convert to fraction form
    571.38/788.70 = 338.50/x
  3. Step 3: Cross multiply
    571.38x = 788.70 × 338.50
  4. Step 4: Simplify right side
    571.38x = 266,974.95
  5. Step 5: Solve for x
    x = 266,974.95/571.38
  6. Step 6: Final answer
    x = 467.25

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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.