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Finding the Fourth Proportional to 325.14, 449.01 and 259.80

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Solution

The fourth proportional to 325.14, 449.01 and 259.80 is: 358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.14 : 449.01 = 259.80 : x
  2. Step 2: Convert to fraction form
    325.14/449.01 = 259.80/x
  3. Step 3: Cross multiply
    325.14x = 449.01 × 259.80
  4. Step 4: Simplify right side
    325.14x = 116,652.80
  5. Step 5: Solve for x
    x = 116,652.80/325.14
  6. Step 6: Final answer
    x = 358.78

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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.