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Finding the Fourth Proportional to 531.40, 796.94 and 206.86

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Solution

The fourth proportional to 531.40, 796.94 and 206.86 is: 310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.40 : 796.94 = 206.86 : x
  2. Step 2: Convert to fraction form
    531.40/796.94 = 206.86/x
  3. Step 3: Cross multiply
    531.40x = 796.94 × 206.86
  4. Step 4: Simplify right side
    531.40x = 164,855.01
  5. Step 5: Solve for x
    x = 164,855.01/531.40
  6. Step 6: Final answer
    x = 310.23

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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.