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Finding the Fourth Proportional to 512.24, 707.02 and 325.82

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Solution

The fourth proportional to 512.24, 707.02 and 325.82 is: 449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.24 : 707.02 = 325.82 : x
  2. Step 2: Convert to fraction form
    512.24/707.02 = 325.82/x
  3. Step 3: Cross multiply
    512.24x = 707.02 × 325.82
  4. Step 4: Simplify right side
    512.24x = 230,361.26
  5. Step 5: Solve for x
    x = 230,361.26/512.24
  6. Step 6: Final answer
    x = 449.71

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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.