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Finding the Fourth Proportional to 321.13, 442.34 and 271.28

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Solution

The fourth proportional to 321.13, 442.34 and 271.28 is: 373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.13 : 442.34 = 271.28 : x
  2. Step 2: Convert to fraction form
    321.13/442.34 = 271.28/x
  3. Step 3: Cross multiply
    321.13x = 442.34 × 271.28
  4. Step 4: Simplify right side
    321.13x = 119,998.76
  5. Step 5: Solve for x
    x = 119,998.76/321.13
  6. Step 6: Final answer
    x = 373.68

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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.