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Finding the Fourth Proportional to 510.75, 766.38 and 236.79

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Solution

The fourth proportional to 510.75, 766.38 and 236.79 is: 355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 766.38 = 236.79 : x
  2. Step 2: Convert to fraction form
    510.75/766.38 = 236.79/x
  3. Step 3: Cross multiply
    510.75x = 766.38 × 236.79
  4. Step 4: Simplify right side
    510.75x = 181,471.12
  5. Step 5: Solve for x
    x = 181,471.12/510.75
  6. Step 6: Final answer
    x = 355.30

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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.