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Finding the Fourth Proportional to 325.83, 449.61 and 201.52

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Solution

The fourth proportional to 325.83, 449.61 and 201.52 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.83 : 449.61 = 201.52 : x
  2. Step 2: Convert to fraction form
    325.83/449.61 = 201.52/x
  3. Step 3: Cross multiply
    325.83x = 449.61 × 201.52
  4. Step 4: Simplify right side
    325.83x = 90,605.41
  5. Step 5: Solve for x
    x = 90,605.41/325.83
  6. Step 6: Final answer
    x = 278.08

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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.