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Finding the Fourth Proportional to 321.84, 442.56 and 293.52

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Solution

The fourth proportional to 321.84, 442.56 and 293.52 is: 403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 442.56 = 293.52 : x
  2. Step 2: Convert to fraction form
    321.84/442.56 = 293.52/x
  3. Step 3: Cross multiply
    321.84x = 442.56 × 293.52
  4. Step 4: Simplify right side
    321.84x = 129,900.21
  5. Step 5: Solve for x
    x = 129,900.21/321.84
  6. Step 6: Final answer
    x = 403.62

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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.