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Finding the Fourth Proportional to 578.31, 866.86 and 395.66

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Solution

The fourth proportional to 578.31, 866.86 and 395.66 is: 593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.31 : 866.86 = 395.66 : x
  2. Step 2: Convert to fraction form
    578.31/866.86 = 395.66/x
  3. Step 3: Cross multiply
    578.31x = 866.86 × 395.66
  4. Step 4: Simplify right side
    578.31x = 342,976.50
  5. Step 5: Solve for x
    x = 342,976.50/578.31
  6. Step 6: Final answer
    x = 593.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.