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Finding the Fourth Proportional to 611.63, 844.07 and 346.09

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Solution

The fourth proportional to 611.63, 844.07 and 346.09 is: 477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.63 : 844.07 = 346.09 : x
  2. Step 2: Convert to fraction form
    611.63/844.07 = 346.09/x
  3. Step 3: Cross multiply
    611.63x = 844.07 × 346.09
  4. Step 4: Simplify right side
    611.63x = 292,120.35
  5. Step 5: Solve for x
    x = 292,120.35/611.63
  6. Step 6: Final answer
    x = 477.61

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