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Finding the Fourth Proportional to 386.54, 580.38 and 278.30

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Solution

The fourth proportional to 386.54, 580.38 and 278.30 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.54 : 580.38 = 278.30 : x
  2. Step 2: Convert to fraction form
    386.54/580.38 = 278.30/x
  3. Step 3: Cross multiply
    386.54x = 580.38 × 278.30
  4. Step 4: Simplify right side
    386.54x = 161,519.75
  5. Step 5: Solve for x
    x = 161,519.75/386.54
  6. Step 6: Final answer
    x = 417.86

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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.