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Finding the Fourth Proportional to 380.25, 524.48 and 232.96

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Solution

The fourth proportional to 380.25, 524.48 and 232.96 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 524.48 = 232.96 : x
  2. Step 2: Convert to fraction form
    380.25/524.48 = 232.96/x
  3. Step 3: Cross multiply
    380.25x = 524.48 × 232.96
  4. Step 4: Simplify right side
    380.25x = 122,181.70
  5. Step 5: Solve for x
    x = 122,181.70/380.25
  6. Step 6: Final answer
    x = 321.32

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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.