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Finding the Fourth Proportional to 661.81, 913.32 and 367.06

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Solution

The fourth proportional to 661.81, 913.32 and 367.06 is: 506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.81 : 913.32 = 367.06 : x
  2. Step 2: Convert to fraction form
    661.81/913.32 = 367.06/x
  3. Step 3: Cross multiply
    661.81x = 913.32 × 367.06
  4. Step 4: Simplify right side
    661.81x = 335,243.24
  5. Step 5: Solve for x
    x = 335,243.24/661.81
  6. Step 6: Final answer
    x = 506.56

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Why These Related Problems?

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