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Finding the Fourth Proportional to 507.28, 761 and 178.26

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Solution

The fourth proportional to 507.28, 761 and 178.26 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.28 : 761 = 178.26 : x
  2. Step 2: Convert to fraction form
    507.28/761 = 178.26/x
  3. Step 3: Cross multiply
    507.28x = 761 × 178.26
  4. Step 4: Simplify right side
    507.28x = 135,655.86
  5. Step 5: Solve for x
    x = 135,655.86/507.28
  6. Step 6: Final answer
    x = 267.42

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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.