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Finding the Fourth Proportional to 305.54, 421.70 and 240.34

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Solution

The fourth proportional to 305.54, 421.70 and 240.34 is: 331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.54 : 421.70 = 240.34 : x
  2. Step 2: Convert to fraction form
    305.54/421.70 = 240.34/x
  3. Step 3: Cross multiply
    305.54x = 421.70 × 240.34
  4. Step 4: Simplify right side
    305.54x = 101,351.38
  5. Step 5: Solve for x
    x = 101,351.38/305.54
  6. Step 6: Final answer
    x = 331.71

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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.