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Finding the Fourth Proportional to 611.54, 843.94 and 345.98

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Solution

The fourth proportional to 611.54, 843.94 and 345.98 is: 477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.54 : 843.94 = 345.98 : x
  2. Step 2: Convert to fraction form
    611.54/843.94 = 345.98/x
  3. Step 3: Cross multiply
    611.54x = 843.94 × 345.98
  4. Step 4: Simplify right side
    611.54x = 291,988.90
  5. Step 5: Solve for x
    x = 291,988.90/611.54
  6. Step 6: Final answer
    x = 477.47

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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.