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Finding the Fourth Proportional to 588.96, 883.44 and 150.25

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Solution

The fourth proportional to 588.96, 883.44 and 150.25 is: 225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 883.44 = 150.25 : x
  2. Step 2: Convert to fraction form
    588.96/883.44 = 150.25/x
  3. Step 3: Cross multiply
    588.96x = 883.44 × 150.25
  4. Step 4: Simplify right side
    588.96x = 132,736.86
  5. Step 5: Solve for x
    x = 132,736.86/588.96
  6. Step 6: Final answer
    x = 225.38

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