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Finding the Fourth Proportional to 510.12, 765.04 and 201.97

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Solution

The fourth proportional to 510.12, 765.04 and 201.97 is: 302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.12 : 765.04 = 201.97 : x
  2. Step 2: Convert to fraction form
    510.12/765.04 = 201.97/x
  3. Step 3: Cross multiply
    510.12x = 765.04 × 201.97
  4. Step 4: Simplify right side
    510.12x = 154,512.71
  5. Step 5: Solve for x
    x = 154,512.71/510.12
  6. Step 6: Final answer
    x = 302.89

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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.