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Finding the Fourth Proportional to 386.82, 580.38 and 224.64

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Solution

The fourth proportional to 386.82, 580.38 and 224.64 is: 337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 580.38 = 224.64 : x
  2. Step 2: Convert to fraction form
    386.82/580.38 = 224.64/x
  3. Step 3: Cross multiply
    386.82x = 580.38 × 224.64
  4. Step 4: Simplify right side
    386.82x = 130,376.56
  5. Step 5: Solve for x
    x = 130,376.56/386.82
  6. Step 6: Final answer
    x = 337.05

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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.