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Finding the Fourth Proportional to 320.24, 442.24 and 233.12

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Solution

The fourth proportional to 320.24, 442.24 and 233.12 is: 321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 442.24 = 233.12 : x
  2. Step 2: Convert to fraction form
    320.24/442.24 = 233.12/x
  3. Step 3: Cross multiply
    320.24x = 442.24 × 233.12
  4. Step 4: Simplify right side
    320.24x = 103,094.99
  5. Step 5: Solve for x
    x = 103,094.99/320.24
  6. Step 6: Final answer
    x = 321.93

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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.