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Finding the Fourth Proportional to 386.06, 578.70 and 231.80

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Solution

The fourth proportional to 386.06, 578.70 and 231.80 is: 347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.06 : 578.70 = 231.80 : x
  2. Step 2: Convert to fraction form
    386.06/578.70 = 231.80/x
  3. Step 3: Cross multiply
    386.06x = 578.70 × 231.80
  4. Step 4: Simplify right side
    386.06x = 134,142.66
  5. Step 5: Solve for x
    x = 134,142.66/386.06
  6. Step 6: Final answer
    x = 347.47

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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.