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Finding the Fourth Proportional to 301.93, 416.41 and 228.42

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Solution

The fourth proportional to 301.93, 416.41 and 228.42 is: 315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.93 : 416.41 = 228.42 : x
  2. Step 2: Convert to fraction form
    301.93/416.41 = 228.42/x
  3. Step 3: Cross multiply
    301.93x = 416.41 × 228.42
  4. Step 4: Simplify right side
    301.93x = 95,115.80
  5. Step 5: Solve for x
    x = 95,115.80/301.93
  6. Step 6: Final answer
    x = 315.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.