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Finding the Fourth Proportional to 661.76, 913.24 and 367.05

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Solution

The fourth proportional to 661.76, 913.24 and 367.05 is: 506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.76 : 913.24 = 367.05 : x
  2. Step 2: Convert to fraction form
    661.76/913.24 = 367.05/x
  3. Step 3: Cross multiply
    661.76x = 913.24 × 367.05
  4. Step 4: Simplify right side
    661.76x = 335,198.34
  5. Step 5: Solve for x
    x = 335,198.34/661.76
  6. Step 6: Final answer
    x = 506.53

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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.