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Finding the Fourth Proportional to 531.81, 797.42 and 206.81

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Solution

The fourth proportional to 531.81, 797.42 and 206.81 is: 310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.81 : 797.42 = 206.81 : x
  2. Step 2: Convert to fraction form
    531.81/797.42 = 206.81/x
  3. Step 3: Cross multiply
    531.81x = 797.42 × 206.81
  4. Step 4: Simplify right side
    531.81x = 164,909.41
  5. Step 5: Solve for x
    x = 164,909.41/531.81
  6. Step 6: Final answer
    x = 310.09

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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.