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Finding the Fourth Proportional to 295.36, 441.87 and 255.22

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Solution

The fourth proportional to 295.36, 441.87 and 255.22 is: 381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.36 : 441.87 = 255.22 : x
  2. Step 2: Convert to fraction form
    295.36/441.87 = 255.22/x
  3. Step 3: Cross multiply
    295.36x = 441.87 × 255.22
  4. Step 4: Simplify right side
    295.36x = 112,774.06
  5. Step 5: Solve for x
    x = 112,774.06/295.36
  6. Step 6: Final answer
    x = 381.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.