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Finding the Fourth Proportional to 304.29, 420.80 and 298.82

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Solution

The fourth proportional to 304.29, 420.80 and 298.82 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.29 : 420.80 = 298.82 : x
  2. Step 2: Convert to fraction form
    304.29/420.80 = 298.82/x
  3. Step 3: Cross multiply
    304.29x = 420.80 × 298.82
  4. Step 4: Simplify right side
    304.29x = 125,743.01
  5. Step 5: Solve for x
    x = 125,743.01/304.29
  6. Step 6: Final answer
    x = 413.23

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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.