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Finding the Fourth Proportional to 507.20, 759.94 and 247.14

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Solution

The fourth proportional to 507.20, 759.94 and 247.14 is: 370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 759.94 = 247.14 : x
  2. Step 2: Convert to fraction form
    507.20/759.94 = 247.14/x
  3. Step 3: Cross multiply
    507.20x = 759.94 × 247.14
  4. Step 4: Simplify right side
    507.20x = 187,810.95
  5. Step 5: Solve for x
    x = 187,810.95/507.20
  6. Step 6: Final answer
    x = 370.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.