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Finding the Fourth Proportional to 611.90, 844.33 and 346.35

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Solution

The fourth proportional to 611.90, 844.33 and 346.35 is: 477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.90 : 844.33 = 346.35 : x
  2. Step 2: Convert to fraction form
    611.90/844.33 = 346.35/x
  3. Step 3: Cross multiply
    611.90x = 844.33 × 346.35
  4. Step 4: Simplify right side
    611.90x = 292,433.70
  5. Step 5: Solve for x
    x = 292,433.70/611.90
  6. Step 6: Final answer
    x = 477.91

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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.