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Finding the Fourth Proportional to 507.96, 762 and 219.48

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Solution

The fourth proportional to 507.96, 762 and 219.48 is: 329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 762 = 219.48 : x
  2. Step 2: Convert to fraction form
    507.96/762 = 219.48/x
  3. Step 3: Cross multiply
    507.96x = 762 × 219.48
  4. Step 4: Simplify right side
    507.96x = 167,243.76
  5. Step 5: Solve for x
    x = 167,243.76/507.96
  6. Step 6: Final answer
    x = 329.25

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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.