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Finding the Fourth Proportional to 661.24, 912.49 and 362.48

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Solution

The fourth proportional to 661.24, 912.49 and 362.48 is: 500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.24 : 912.49 = 362.48 : x
  2. Step 2: Convert to fraction form
    661.24/912.49 = 362.48/x
  3. Step 3: Cross multiply
    661.24x = 912.49 × 362.48
  4. Step 4: Simplify right side
    661.24x = 330,757.56
  5. Step 5: Solve for x
    x = 330,757.56/661.24
  6. Step 6: Final answer
    x = 500.21

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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.