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Finding the Fourth Proportional to 270.63, 404.08 and 232.05

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Solution

The fourth proportional to 270.63, 404.08 and 232.05 is: 346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.63 : 404.08 = 232.05 : x
  2. Step 2: Convert to fraction form
    270.63/404.08 = 232.05/x
  3. Step 3: Cross multiply
    270.63x = 404.08 × 232.05
  4. Step 4: Simplify right side
    270.63x = 93,766.76
  5. Step 5: Solve for x
    x = 93,766.76/270.63
  6. Step 6: Final answer
    x = 346.48

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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.