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Finding the Fourth Proportional to 607.70, 911.42 and 261.22

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Solution

The fourth proportional to 607.70, 911.42 and 261.22 is: 391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.70 : 911.42 = 261.22 : x
  2. Step 2: Convert to fraction form
    607.70/911.42 = 261.22/x
  3. Step 3: Cross multiply
    607.70x = 911.42 × 261.22
  4. Step 4: Simplify right side
    607.70x = 238,081.13
  5. Step 5: Solve for x
    x = 238,081.13/607.70
  6. Step 6: Final answer
    x = 391.77

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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.