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Finding the Fourth Proportional to 510.25, 765.36 and 221.69

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Solution

The fourth proportional to 510.25, 765.36 and 221.69 is: 332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.25 : 765.36 = 221.69 : x
  2. Step 2: Convert to fraction form
    510.25/765.36 = 221.69/x
  3. Step 3: Cross multiply
    510.25x = 765.36 × 221.69
  4. Step 4: Simplify right side
    510.25x = 169,671.70
  5. Step 5: Solve for x
    x = 169,671.70/510.25
  6. Step 6: Final answer
    x = 332.53

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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.