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Finding the Fourth Proportional to 507.81, 761.73 and 351.48

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Solution

The fourth proportional to 507.81, 761.73 and 351.48 is: 527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.81 : 761.73 = 351.48 : x
  2. Step 2: Convert to fraction form
    507.81/761.73 = 351.48/x
  3. Step 3: Cross multiply
    507.81x = 761.73 × 351.48
  4. Step 4: Simplify right side
    507.81x = 267,732.86
  5. Step 5: Solve for x
    x = 267,732.86/507.81
  6. Step 6: Final answer
    x = 527.23

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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.