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Finding the Fourth Proportional to 662.29, 913.97 and 367.59

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Solution

The fourth proportional to 662.29, 913.97 and 367.59 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.29 : 913.97 = 367.59 : x
  2. Step 2: Convert to fraction form
    662.29/913.97 = 367.59/x
  3. Step 3: Cross multiply
    662.29x = 913.97 × 367.59
  4. Step 4: Simplify right side
    662.29x = 335,966.23
  5. Step 5: Solve for x
    x = 335,966.23/662.29
  6. Step 6: Final answer
    x = 507.28

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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.