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Finding the Fourth Proportional to 510.74, 766.34 and 218.45

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Solution

The fourth proportional to 510.74, 766.34 and 218.45 is: 327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 766.34 = 218.45 : x
  2. Step 2: Convert to fraction form
    510.74/766.34 = 218.45/x
  3. Step 3: Cross multiply
    510.74x = 766.34 × 218.45
  4. Step 4: Simplify right side
    510.74x = 167,407.80
  5. Step 5: Solve for x
    x = 167,407.80/510.74
  6. Step 6: Final answer
    x = 327.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.