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Finding the Fourth Proportional to 325.61, 448.58 and 227.19

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Solution

The fourth proportional to 325.61, 448.58 and 227.19 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.61 : 448.58 = 227.19 : x
  2. Step 2: Convert to fraction form
    325.61/448.58 = 227.19/x
  3. Step 3: Cross multiply
    325.61x = 448.58 × 227.19
  4. Step 4: Simplify right side
    325.61x = 101,911.75
  5. Step 5: Solve for x
    x = 101,911.75/325.61
  6. Step 6: Final answer
    x = 312.99

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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.