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Finding the Fourth Proportional to 304.80, 456.34 and 275.97

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Solution

The fourth proportional to 304.80, 456.34 and 275.97 is: 413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.80 : 456.34 = 275.97 : x
  2. Step 2: Convert to fraction form
    304.80/456.34 = 275.97/x
  3. Step 3: Cross multiply
    304.80x = 456.34 × 275.97
  4. Step 4: Simplify right side
    304.80x = 125,936.15
  5. Step 5: Solve for x
    x = 125,936.15/304.80
  6. Step 6: Final answer
    x = 413.18

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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.