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Finding the Fourth Proportional to 418.36, 576.69 and 287.14

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Solution

The fourth proportional to 418.36, 576.69 and 287.14 is: 395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.36 : 576.69 = 287.14 : x
  2. Step 2: Convert to fraction form
    418.36/576.69 = 287.14/x
  3. Step 3: Cross multiply
    418.36x = 576.69 × 287.14
  4. Step 4: Simplify right side
    418.36x = 165,590.77
  5. Step 5: Solve for x
    x = 165,590.77/418.36
  6. Step 6: Final answer
    x = 395.81

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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.