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Finding the Fourth Proportional to 320.24, 442.32 and 232.80

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Solution

The fourth proportional to 320.24, 442.32 and 232.80 is: 321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 442.32 = 232.80 : x
  2. Step 2: Convert to fraction form
    320.24/442.32 = 232.80/x
  3. Step 3: Cross multiply
    320.24x = 442.32 × 232.80
  4. Step 4: Simplify right side
    320.24x = 102,972.10
  5. Step 5: Solve for x
    x = 102,972.10/320.24
  6. Step 6: Final answer
    x = 321.55

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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.