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Finding the Fourth Proportional to 507.31, 760.96 and 199.25

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Solution

The fourth proportional to 507.31, 760.96 and 199.25 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.31 : 760.96 = 199.25 : x
  2. Step 2: Convert to fraction form
    507.31/760.96 = 199.25/x
  3. Step 3: Cross multiply
    507.31x = 760.96 × 199.25
  4. Step 4: Simplify right side
    507.31x = 151,622.72
  5. Step 5: Solve for x
    x = 151,622.72/507.31
  6. Step 6: Final answer
    x = 298.87

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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.