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Finding the Fourth Proportional to 353.14, 486.93 and 287.44

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Solution

The fourth proportional to 353.14, 486.93 and 287.44 is: 396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.14 : 486.93 = 287.44 : x
  2. Step 2: Convert to fraction form
    353.14/486.93 = 287.44/x
  3. Step 3: Cross multiply
    353.14x = 486.93 × 287.44
  4. Step 4: Simplify right side
    353.14x = 139,963.16
  5. Step 5: Solve for x
    x = 139,963.16/353.14
  6. Step 6: Final answer
    x = 396.34

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Why These Related Problems?

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