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Finding the Fourth Proportional to 590.64, 886.23 and 225.57

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Solution

The fourth proportional to 590.64, 886.23 and 225.57 is: 338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.64 : 886.23 = 225.57 : x
  2. Step 2: Convert to fraction form
    590.64/886.23 = 225.57/x
  3. Step 3: Cross multiply
    590.64x = 886.23 × 225.57
  4. Step 4: Simplify right side
    590.64x = 199,906.90
  5. Step 5: Solve for x
    x = 199,906.90/590.64
  6. Step 6: Final answer
    x = 338.46

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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.