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Finding the Fourth Proportional to 531.72, 797.69 and 185.06

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Solution

The fourth proportional to 531.72, 797.69 and 185.06 is: 277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.72 : 797.69 = 185.06 : x
  2. Step 2: Convert to fraction form
    531.72/797.69 = 185.06/x
  3. Step 3: Cross multiply
    531.72x = 797.69 × 185.06
  4. Step 4: Simplify right side
    531.72x = 147,622.97
  5. Step 5: Solve for x
    x = 147,622.97/531.72
  6. Step 6: Final answer
    x = 277.63

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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.