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Finding the Fourth Proportional to 510.69, 766.14 and 218.19

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Solution

The fourth proportional to 510.69, 766.14 and 218.19 is: 327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.69 : 766.14 = 218.19 : x
  2. Step 2: Convert to fraction form
    510.69/766.14 = 218.19/x
  3. Step 3: Cross multiply
    510.69x = 766.14 × 218.19
  4. Step 4: Simplify right side
    510.69x = 167,163.00
  5. Step 5: Solve for x
    x = 167,163.00/510.69
  6. Step 6: Final answer
    x = 327.33

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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.