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Finding the Fourth Proportional to 588.94, 883.41 and 204.19

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Solution

The fourth proportional to 588.94, 883.41 and 204.19 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.94 : 883.41 = 204.19 : x
  2. Step 2: Convert to fraction form
    588.94/883.41 = 204.19/x
  3. Step 3: Cross multiply
    588.94x = 883.41 × 204.19
  4. Step 4: Simplify right side
    588.94x = 180,380.51
  5. Step 5: Solve for x
    x = 180,380.51/588.94
  6. Step 6: Final answer
    x = 306.28

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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.