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Finding the Fourth Proportional to 386.14, 578.46 and 232.18

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Solution

The fourth proportional to 386.14, 578.46 and 232.18 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.14 : 578.46 = 232.18 : x
  2. Step 2: Convert to fraction form
    386.14/578.46 = 232.18/x
  3. Step 3: Cross multiply
    386.14x = 578.46 × 232.18
  4. Step 4: Simplify right side
    386.14x = 134,306.84
  5. Step 5: Solve for x
    x = 134,306.84/386.14
  6. Step 6: Final answer
    x = 347.82

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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.