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Finding the Fourth Proportional to 510.01, 765.03 and 267.01

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Solution

The fourth proportional to 510.01, 765.03 and 267.01 is: 400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.01 : 765.03 = 267.01 : x
  2. Step 2: Convert to fraction form
    510.01/765.03 = 267.01/x
  3. Step 3: Cross multiply
    510.01x = 765.03 × 267.01
  4. Step 4: Simplify right side
    510.01x = 204,272.55
  5. Step 5: Solve for x
    x = 204,272.55/510.01
  6. Step 6: Final answer
    x = 400.52

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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.