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Finding the Fourth Proportional to 510.47, 765.92 and 267.15

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Solution

The fourth proportional to 510.47, 765.92 and 267.15 is: 400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.47 : 765.92 = 267.15 : x
  2. Step 2: Convert to fraction form
    510.47/765.92 = 267.15/x
  3. Step 3: Cross multiply
    510.47x = 765.92 × 267.15
  4. Step 4: Simplify right side
    510.47x = 204,616.11
  5. Step 5: Solve for x
    x = 204,616.11/510.47
  6. Step 6: Final answer
    x = 400.84

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