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Finding the Fourth Proportional to 514.31, 771.14 and 206.10

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Solution

The fourth proportional to 514.31, 771.14 and 206.10 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.31 : 771.14 = 206.10 : x
  2. Step 2: Convert to fraction form
    514.31/771.14 = 206.10/x
  3. Step 3: Cross multiply
    514.31x = 771.14 × 206.10
  4. Step 4: Simplify right side
    514.31x = 158,932.47
  5. Step 5: Solve for x
    x = 158,932.47/514.31
  6. Step 6: Final answer
    x = 309.02

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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.