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Finding the Fourth Proportional to 609.45, 912.53 and 349.22

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Solution

The fourth proportional to 609.45, 912.53 and 349.22 is: 522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.45 : 912.53 = 349.22 : x
  2. Step 2: Convert to fraction form
    609.45/912.53 = 349.22/x
  3. Step 3: Cross multiply
    609.45x = 912.53 × 349.22
  4. Step 4: Simplify right side
    609.45x = 318,673.73
  5. Step 5: Solve for x
    x = 318,673.73/609.45
  6. Step 6: Final answer
    x = 522.89

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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.