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Finding the Fourth Proportional to 409.25, 609.50 and 394.89

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Solution

The fourth proportional to 409.25, 609.50 and 394.89 is: 588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 609.50 = 394.89 : x
  2. Step 2: Convert to fraction form
    409.25/609.50 = 394.89/x
  3. Step 3: Cross multiply
    409.25x = 609.50 × 394.89
  4. Step 4: Simplify right side
    409.25x = 240,683.48
  5. Step 5: Solve for x
    x = 240,683.48/409.25
  6. Step 6: Final answer
    x = 588.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.