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Finding the Fourth Proportional to 609.14, 912.24 and 348.35

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Solution

The fourth proportional to 609.14, 912.24 and 348.35 is: 521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.14 : 912.24 = 348.35 : x
  2. Step 2: Convert to fraction form
    609.14/912.24 = 348.35/x
  3. Step 3: Cross multiply
    609.14x = 912.24 × 348.35
  4. Step 4: Simplify right side
    609.14x = 317,776.02
  5. Step 5: Solve for x
    x = 317,776.02/609.14
  6. Step 6: Final answer
    x = 521.68

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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.