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Finding the Fourth Proportional to 611.70, 843.84 and 471.54

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Solution

The fourth proportional to 611.70, 843.84 and 471.54 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.70 : 843.84 = 471.54 : x
  2. Step 2: Convert to fraction form
    611.70/843.84 = 471.54/x
  3. Step 3: Cross multiply
    611.70x = 843.84 × 471.54
  4. Step 4: Simplify right side
    611.70x = 397,904.31
  5. Step 5: Solve for x
    x = 397,904.31/611.70
  6. Step 6: Final answer
    x = 650.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.