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Finding the Fourth Proportional to 524.05, 722.37 and 349.09

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Solution

The fourth proportional to 524.05, 722.37 and 349.09 is: 481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.05 : 722.37 = 349.09 : x
  2. Step 2: Convert to fraction form
    524.05/722.37 = 349.09/x
  3. Step 3: Cross multiply
    524.05x = 722.37 × 349.09
  4. Step 4: Simplify right side
    524.05x = 252,172.14
  5. Step 5: Solve for x
    x = 252,172.14/524.05
  6. Step 6: Final answer
    x = 481.20

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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.