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Finding the Fourth Proportional to 510.77, 766.05 and 222.26

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Solution

The fourth proportional to 510.77, 766.05 and 222.26 is: 333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.77 : 766.05 = 222.26 : x
  2. Step 2: Convert to fraction form
    510.77/766.05 = 222.26/x
  3. Step 3: Cross multiply
    510.77x = 766.05 × 222.26
  4. Step 4: Simplify right side
    510.77x = 170,262.27
  5. Step 5: Solve for x
    x = 170,262.27/510.77
  6. Step 6: Final answer
    x = 333.34

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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.