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Finding the Fourth Proportional to 337.25, 505.44 and 221.91

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Solution

The fourth proportional to 337.25, 505.44 and 221.91 is: 332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.25 : 505.44 = 221.91 : x
  2. Step 2: Convert to fraction form
    337.25/505.44 = 221.91/x
  3. Step 3: Cross multiply
    337.25x = 505.44 × 221.91
  4. Step 4: Simplify right side
    337.25x = 112,162.19
  5. Step 5: Solve for x
    x = 112,162.19/337.25
  6. Step 6: Final answer
    x = 332.58

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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.