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Finding the Fourth Proportional to 588.96, 883.46 and 264.27

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Solution

The fourth proportional to 588.96, 883.46 and 264.27 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 883.46 = 264.27 : x
  2. Step 2: Convert to fraction form
    588.96/883.46 = 264.27/x
  3. Step 3: Cross multiply
    588.96x = 883.46 × 264.27
  4. Step 4: Simplify right side
    588.96x = 233,471.97
  5. Step 5: Solve for x
    x = 233,471.97/588.96
  6. Step 6: Final answer
    x = 396.41

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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.