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Finding the Fourth Proportional to 474.50, 712.06 and 185.94

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Solution

The fourth proportional to 474.50, 712.06 and 185.94 is: 279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 712.06 = 185.94 : x
  2. Step 2: Convert to fraction form
    474.50/712.06 = 185.94/x
  3. Step 3: Cross multiply
    474.50x = 712.06 × 185.94
  4. Step 4: Simplify right side
    474.50x = 132,400.44
  5. Step 5: Solve for x
    x = 132,400.44/474.50
  6. Step 6: Final answer
    x = 279.03

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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.