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Finding the Fourth Proportional to 320.92, 442.14 and 268.24

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Solution

The fourth proportional to 320.92, 442.14 and 268.24 is: 369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.92 : 442.14 = 268.24 : x
  2. Step 2: Convert to fraction form
    320.92/442.14 = 268.24/x
  3. Step 3: Cross multiply
    320.92x = 442.14 × 268.24
  4. Step 4: Simplify right side
    320.92x = 118,599.63
  5. Step 5: Solve for x
    x = 118,599.63/320.92
  6. Step 6: Final answer
    x = 369.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.