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Finding the Fourth Proportional to 590.60, 886.38 and 225.44

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Solution

The fourth proportional to 590.60, 886.38 and 225.44 is: 338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.60 : 886.38 = 225.44 : x
  2. Step 2: Convert to fraction form
    590.60/886.38 = 225.44/x
  3. Step 3: Cross multiply
    590.60x = 886.38 × 225.44
  4. Step 4: Simplify right side
    590.60x = 199,825.51
  5. Step 5: Solve for x
    x = 199,825.51/590.60
  6. Step 6: Final answer
    x = 338.34

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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.