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Finding the Fourth Proportional to 524.24, 786.60 and 329.48

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Solution

The fourth proportional to 524.24, 786.60 and 329.48 is: 494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 786.60 = 329.48 : x
  2. Step 2: Convert to fraction form
    524.24/786.60 = 329.48/x
  3. Step 3: Cross multiply
    524.24x = 786.60 × 329.48
  4. Step 4: Simplify right side
    524.24x = 259,168.97
  5. Step 5: Solve for x
    x = 259,168.97/524.24
  6. Step 6: Final answer
    x = 494.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.