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Finding the Fourth Proportional to 507.26, 761.25 and 233.66

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Solution

The fourth proportional to 507.26, 761.25 and 233.66 is: 350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.26 : 761.25 = 233.66 : x
  2. Step 2: Convert to fraction form
    507.26/761.25 = 233.66/x
  3. Step 3: Cross multiply
    507.26x = 761.25 × 233.66
  4. Step 4: Simplify right side
    507.26x = 177,873.68
  5. Step 5: Solve for x
    x = 177,873.68/507.26
  6. Step 6: Final answer
    x = 350.66

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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.