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Finding the Fourth Proportional to 270.68, 403.54 and 252.44

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Solution

The fourth proportional to 270.68, 403.54 and 252.44 is: 376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.68 : 403.54 = 252.44 : x
  2. Step 2: Convert to fraction form
    270.68/403.54 = 252.44/x
  3. Step 3: Cross multiply
    270.68x = 403.54 × 252.44
  4. Step 4: Simplify right side
    270.68x = 101,869.64
  5. Step 5: Solve for x
    x = 101,869.64/270.68
  6. Step 6: Final answer
    x = 376.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.