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Finding the Fourth Proportional to 409.58, 614.75 and 226.72

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Solution

The fourth proportional to 409.58, 614.75 and 226.72 is: 340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.58 : 614.75 = 226.72 : x
  2. Step 2: Convert to fraction form
    409.58/614.75 = 226.72/x
  3. Step 3: Cross multiply
    409.58x = 614.75 × 226.72
  4. Step 4: Simplify right side
    409.58x = 139,376.12
  5. Step 5: Solve for x
    x = 139,376.12/409.58
  6. Step 6: Final answer
    x = 340.29

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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.