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Finding the Fourth Proportional to 386.74, 579.34 and 232.22

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Solution

The fourth proportional to 386.74, 579.34 and 232.22 is: 347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.74 : 579.34 = 232.22 : x
  2. Step 2: Convert to fraction form
    386.74/579.34 = 232.22/x
  3. Step 3: Cross multiply
    386.74x = 579.34 × 232.22
  4. Step 4: Simplify right side
    386.74x = 134,534.33
  5. Step 5: Solve for x
    x = 134,534.33/386.74
  6. Step 6: Final answer
    x = 347.87

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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.