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Finding the Fourth Proportional to 611.67, 843.89 and 346.07

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Solution

The fourth proportional to 611.67, 843.89 and 346.07 is: 477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.67 : 843.89 = 346.07 : x
  2. Step 2: Convert to fraction form
    611.67/843.89 = 346.07/x
  3. Step 3: Cross multiply
    611.67x = 843.89 × 346.07
  4. Step 4: Simplify right side
    611.67x = 292,043.28
  5. Step 5: Solve for x
    x = 292,043.28/611.67
  6. Step 6: Final answer
    x = 477.45

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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.