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Finding the Fourth Proportional to 349.36, 482.24 and 232.96

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Solution

The fourth proportional to 349.36, 482.24 and 232.96 is: 321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.36 : 482.24 = 232.96 : x
  2. Step 2: Convert to fraction form
    349.36/482.24 = 232.96/x
  3. Step 3: Cross multiply
    349.36x = 482.24 × 232.96
  4. Step 4: Simplify right side
    349.36x = 112,342.63
  5. Step 5: Solve for x
    x = 112,342.63/349.36
  6. Step 6: Final answer
    x = 321.57

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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.