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Finding the Fourth Proportional to 531.97, 797.91 and 185.28

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Solution

The fourth proportional to 531.97, 797.91 and 185.28 is: 277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.97 : 797.91 = 185.28 : x
  2. Step 2: Convert to fraction form
    531.97/797.91 = 185.28/x
  3. Step 3: Cross multiply
    531.97x = 797.91 × 185.28
  4. Step 4: Simplify right side
    531.97x = 147,836.76
  5. Step 5: Solve for x
    x = 147,836.76/531.97
  6. Step 6: Final answer
    x = 277.90

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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.