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Finding the Fourth Proportional to 507.96, 761.12 and 426.96

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Solution

The fourth proportional to 507.96, 761.12 and 426.96 is: 639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 761.12 = 426.96 : x
  2. Step 2: Convert to fraction form
    507.96/761.12 = 426.96/x
  3. Step 3: Cross multiply
    507.96x = 761.12 × 426.96
  4. Step 4: Simplify right side
    507.96x = 324,967.80
  5. Step 5: Solve for x
    x = 324,967.80/507.96
  6. Step 6: Final answer
    x = 639.75

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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.