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Finding the Fourth Proportional to 325.74, 449.91 and 284.16

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Solution

The fourth proportional to 325.74, 449.91 and 284.16 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.74 : 449.91 = 284.16 : x
  2. Step 2: Convert to fraction form
    325.74/449.91 = 284.16/x
  3. Step 3: Cross multiply
    325.74x = 449.91 × 284.16
  4. Step 4: Simplify right side
    325.74x = 127,846.43
  5. Step 5: Solve for x
    x = 127,846.43/325.74
  6. Step 6: Final answer
    x = 392.48

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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.