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Finding the Fourth Proportional to 272.30, 407.41 and 252.86

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Solution

The fourth proportional to 272.30, 407.41 and 252.86 is: 378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.30 : 407.41 = 252.86 : x
  2. Step 2: Convert to fraction form
    272.30/407.41 = 252.86/x
  3. Step 3: Cross multiply
    272.30x = 407.41 × 252.86
  4. Step 4: Simplify right side
    272.30x = 103,017.69
  5. Step 5: Solve for x
    x = 103,017.69/272.30
  6. Step 6: Final answer
    x = 378.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.