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Finding the Fourth Proportional to 571.86, 788.85 and 385.38

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Solution

The fourth proportional to 571.86, 788.85 and 385.38 is: 531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 788.85 = 385.38 : x
  2. Step 2: Convert to fraction form
    571.86/788.85 = 385.38/x
  3. Step 3: Cross multiply
    571.86x = 788.85 × 385.38
  4. Step 4: Simplify right side
    571.86x = 304,007.01
  5. Step 5: Solve for x
    x = 304,007.01/571.86
  6. Step 6: Final answer
    x = 531.61

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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.