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Finding the Fourth Proportional to 510.25, 765.78 and 266.85

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Solution

The fourth proportional to 510.25, 765.78 and 266.85 is: 400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.25 : 765.78 = 266.85 : x
  2. Step 2: Convert to fraction form
    510.25/765.78 = 266.85/x
  3. Step 3: Cross multiply
    510.25x = 765.78 × 266.85
  4. Step 4: Simplify right side
    510.25x = 204,348.39
  5. Step 5: Solve for x
    x = 204,348.39/510.25
  6. Step 6: Final answer
    x = 400.49

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1.5x scale

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.