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Finding the Fourth Proportional to 706.20, 1,057.38 and 363.48

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Solution

The fourth proportional to 706.20, 1,057.38 and 363.48 is: 544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.20 : 1,057.38 = 363.48 : x
  2. Step 2: Convert to fraction form
    706.20/1,057.38 = 363.48/x
  3. Step 3: Cross multiply
    706.20x = 1,057.38 × 363.48
  4. Step 4: Simplify right side
    706.20x = 384,336.48
  5. Step 5: Solve for x
    x = 384,336.48/706.20
  6. Step 6: Final answer
    x = 544.23

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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.