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Finding the Fourth Proportional to 510.76, 766.12 and 222.40

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Solution

The fourth proportional to 510.76, 766.12 and 222.40 is: 333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.76 : 766.12 = 222.40 : x
  2. Step 2: Convert to fraction form
    510.76/766.12 = 222.40/x
  3. Step 3: Cross multiply
    510.76x = 766.12 × 222.40
  4. Step 4: Simplify right side
    510.76x = 170,385.09
  5. Step 5: Solve for x
    x = 170,385.09/510.76
  6. Step 6: Final answer
    x = 333.59

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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.