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Finding the Fourth Proportional to 611.41, 843.81 and 345.89

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Solution

The fourth proportional to 611.41, 843.81 and 345.89 is: 477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.41 : 843.81 = 345.89 : x
  2. Step 2: Convert to fraction form
    611.41/843.81 = 345.89/x
  3. Step 3: Cross multiply
    611.41x = 843.81 × 345.89
  4. Step 4: Simplify right side
    611.41x = 291,865.44
  5. Step 5: Solve for x
    x = 291,865.44/611.41
  6. Step 6: Final answer
    x = 477.36

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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.