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Finding the Fourth Proportional to 661.26, 912.12 and 440.12

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Solution

The fourth proportional to 661.26, 912.12 and 440.12 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.26 : 912.12 = 440.12 : x
  2. Step 2: Convert to fraction form
    661.26/912.12 = 440.12/x
  3. Step 3: Cross multiply
    661.26x = 912.12 × 440.12
  4. Step 4: Simplify right side
    661.26x = 401,442.25
  5. Step 5: Solve for x
    x = 401,442.25/661.26
  6. Step 6: Final answer
    x = 607.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.