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Finding the Fourth Proportional to 270.94, 404.69 and 232.24

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Solution

The fourth proportional to 270.94, 404.69 and 232.24 is: 346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.94 : 404.69 = 232.24 : x
  2. Step 2: Convert to fraction form
    270.94/404.69 = 232.24/x
  3. Step 3: Cross multiply
    270.94x = 404.69 × 232.24
  4. Step 4: Simplify right side
    270.94x = 93,985.21
  5. Step 5: Solve for x
    x = 93,985.21/270.94
  6. Step 6: Final answer
    x = 346.89

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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.