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Finding the Fourth Proportional to 507.73, 761.09 and 199.39

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Solution

The fourth proportional to 507.73, 761.09 and 199.39 is: 298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.73 : 761.09 = 199.39 : x
  2. Step 2: Convert to fraction form
    507.73/761.09 = 199.39/x
  3. Step 3: Cross multiply
    507.73x = 761.09 × 199.39
  4. Step 4: Simplify right side
    507.73x = 151,753.74
  5. Step 5: Solve for x
    x = 151,753.74/507.73
  6. Step 6: Final answer
    x = 298.89

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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.