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Finding the Fourth Proportional to 507.20, 699.94 and 280.09

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Solution

The fourth proportional to 507.20, 699.94 and 280.09 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 699.94 = 280.09 : x
  2. Step 2: Convert to fraction form
    507.20/699.94 = 280.09/x
  3. Step 3: Cross multiply
    507.20x = 699.94 × 280.09
  4. Step 4: Simplify right side
    507.20x = 196,042.69
  5. Step 5: Solve for x
    x = 196,042.69/507.20
  6. Step 6: Final answer
    x = 386.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.