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Finding the Fourth Proportional to 353.21, 486.84 and 283.14

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Solution

The fourth proportional to 353.21, 486.84 and 283.14 is: 390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.21 : 486.84 = 283.14 : x
  2. Step 2: Convert to fraction form
    353.21/486.84 = 283.14/x
  3. Step 3: Cross multiply
    353.21x = 486.84 × 283.14
  4. Step 4: Simplify right side
    353.21x = 137,843.88
  5. Step 5: Solve for x
    x = 137,843.88/353.21
  6. Step 6: Final answer
    x = 390.26

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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.