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Finding the Fourth Proportional to 363.54, 501.48 and 232.32

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Solution

The fourth proportional to 363.54, 501.48 and 232.32 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.54 : 501.48 = 232.32 : x
  2. Step 2: Convert to fraction form
    363.54/501.48 = 232.32/x
  3. Step 3: Cross multiply
    363.54x = 501.48 × 232.32
  4. Step 4: Simplify right side
    363.54x = 116,503.83
  5. Step 5: Solve for x
    x = 116,503.83/363.54
  6. Step 6: Final answer
    x = 320.47

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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.