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Finding the Fourth Proportional to 327.99, 491.36 and 284.21

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Solution

The fourth proportional to 327.99, 491.36 and 284.21 is: 425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.99 : 491.36 = 284.21 : x
  2. Step 2: Convert to fraction form
    327.99/491.36 = 284.21/x
  3. Step 3: Cross multiply
    327.99x = 491.36 × 284.21
  4. Step 4: Simplify right side
    327.99x = 139,645.55
  5. Step 5: Solve for x
    x = 139,645.55/327.99
  6. Step 6: Final answer
    x = 425.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.