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Finding the Fourth Proportional to 507.69, 761.31 and 160.91

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Solution

The fourth proportional to 507.69, 761.31 and 160.91 is: 241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.69 : 761.31 = 160.91 : x
  2. Step 2: Convert to fraction form
    507.69/761.31 = 160.91/x
  3. Step 3: Cross multiply
    507.69x = 761.31 × 160.91
  4. Step 4: Simplify right side
    507.69x = 122,502.39
  5. Step 5: Solve for x
    x = 122,502.39/507.69
  6. Step 6: Final answer
    x = 241.29

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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.