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Finding the Fourth Proportional to 661.74, 913.20 and 367.01

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Solution

The fourth proportional to 661.74, 913.20 and 367.01 is: 506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.74 : 913.20 = 367.01 : x
  2. Step 2: Convert to fraction form
    661.74/913.20 = 367.01/x
  3. Step 3: Cross multiply
    661.74x = 913.20 × 367.01
  4. Step 4: Simplify right side
    661.74x = 335,148.97
  5. Step 5: Solve for x
    x = 335,148.97/661.74
  6. Step 6: Final answer
    x = 506.47

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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.