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Finding the Fourth Proportional to 588.97, 883.46 and 223.77

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Solution

The fourth proportional to 588.97, 883.46 and 223.77 is: 335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.97 : 883.46 = 223.77 : x
  2. Step 2: Convert to fraction form
    588.97/883.46 = 223.77/x
  3. Step 3: Cross multiply
    588.97x = 883.46 × 223.77
  4. Step 4: Simplify right side
    588.97x = 197,692.40
  5. Step 5: Solve for x
    x = 197,692.40/588.97
  6. Step 6: Final answer
    x = 335.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.