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Finding the Fourth Proportional to 531.45, 796.85 and 206.44

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Solution

The fourth proportional to 531.45, 796.85 and 206.44 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.45 : 796.85 = 206.44 : x
  2. Step 2: Convert to fraction form
    531.45/796.85 = 206.44/x
  3. Step 3: Cross multiply
    531.45x = 796.85 × 206.44
  4. Step 4: Simplify right side
    531.45x = 164,499.46
  5. Step 5: Solve for x
    x = 164,499.46/531.45
  6. Step 6: Final answer
    x = 309.53

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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.