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Finding the Fourth Proportional to 507.38, 761.20 and 250.88

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Solution

The fourth proportional to 507.38, 761.20 and 250.88 is: 376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 761.20 = 250.88 : x
  2. Step 2: Convert to fraction form
    507.38/761.20 = 250.88/x
  3. Step 3: Cross multiply
    507.38x = 761.20 × 250.88
  4. Step 4: Simplify right side
    507.38x = 190,965.42
  5. Step 5: Solve for x
    x = 190,965.42/507.38
  6. Step 6: Final answer
    x = 376.38

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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.