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Finding the Fourth Proportional to 661.92, 913.53 and 367.22

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Solution

The fourth proportional to 661.92, 913.53 and 367.22 is: 506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 913.53 = 367.22 : x
  2. Step 2: Convert to fraction form
    661.92/913.53 = 367.22/x
  3. Step 3: Cross multiply
    661.92x = 913.53 × 367.22
  4. Step 4: Simplify right side
    661.92x = 335,461.92
  5. Step 5: Solve for x
    x = 335,461.92/661.92
  6. Step 6: Final answer
    x = 506.80

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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.