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Finding the Fourth Proportional to 531.50, 796.97 and 206.69

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Solution

The fourth proportional to 531.50, 796.97 and 206.69 is: 309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.50 : 796.97 = 206.69 : x
  2. Step 2: Convert to fraction form
    531.50/796.97 = 206.69/x
  3. Step 3: Cross multiply
    531.50x = 796.97 × 206.69
  4. Step 4: Simplify right side
    531.50x = 164,722.26
  5. Step 5: Solve for x
    x = 164,722.26/531.50
  6. Step 6: Final answer
    x = 309.92

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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.