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Finding the Fourth Proportional to 531.31, 796.67 and 206.30

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Solution

The fourth proportional to 531.31, 796.67 and 206.30 is: 309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.31 : 796.67 = 206.30 : x
  2. Step 2: Convert to fraction form
    531.31/796.67 = 206.30/x
  3. Step 3: Cross multiply
    531.31x = 796.67 × 206.30
  4. Step 4: Simplify right side
    531.31x = 164,353.02
  5. Step 5: Solve for x
    x = 164,353.02/531.31
  6. Step 6: Final answer
    x = 309.34

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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.