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Finding the Fourth Proportional to 301.54, 418.92 and 298.58

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Solution

The fourth proportional to 301.54, 418.92 and 298.58 is: 414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.54 : 418.92 = 298.58 : x
  2. Step 2: Convert to fraction form
    301.54/418.92 = 298.58/x
  3. Step 3: Cross multiply
    301.54x = 418.92 × 298.58
  4. Step 4: Simplify right side
    301.54x = 125,081.13
  5. Step 5: Solve for x
    x = 125,081.13/301.54
  6. Step 6: Final answer
    x = 414.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.