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Finding the Fourth Proportional to 301.59, 417.89 and 295.11

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Solution

The fourth proportional to 301.59, 417.89 and 295.11 is: 408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.59 : 417.89 = 295.11 : x
  2. Step 2: Convert to fraction form
    301.59/417.89 = 295.11/x
  3. Step 3: Cross multiply
    301.59x = 417.89 × 295.11
  4. Step 4: Simplify right side
    301.59x = 123,324.26
  5. Step 5: Solve for x
    x = 123,324.26/301.59
  6. Step 6: Final answer
    x = 408.91

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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.