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Finding the Fourth Proportional to 386.38, 578.61 and 223.57

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Solution

The fourth proportional to 386.38, 578.61 and 223.57 is: 334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.38 : 578.61 = 223.57 : x
  2. Step 2: Convert to fraction form
    386.38/578.61 = 223.57/x
  3. Step 3: Cross multiply
    386.38x = 578.61 × 223.57
  4. Step 4: Simplify right side
    386.38x = 129,359.84
  5. Step 5: Solve for x
    x = 129,359.84/386.38
  6. Step 6: Final answer
    x = 334.80

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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.