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Finding the Fourth Proportional to 325.40, 448.28 and 251.60

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Solution

The fourth proportional to 325.40, 448.28 and 251.60 is: 346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.40 : 448.28 = 251.60 : x
  2. Step 2: Convert to fraction form
    325.40/448.28 = 251.60/x
  3. Step 3: Cross multiply
    325.40x = 448.28 × 251.60
  4. Step 4: Simplify right side
    325.40x = 112,783.75
  5. Step 5: Solve for x
    x = 112,783.75/325.40
  6. Step 6: Final answer
    x = 346.61

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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.