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Finding the Fourth Proportional to 484.23, 668.31 and 287.75

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Solution

The fourth proportional to 484.23, 668.31 and 287.75 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.23 : 668.31 = 287.75 : x
  2. Step 2: Convert to fraction form
    484.23/668.31 = 287.75/x
  3. Step 3: Cross multiply
    484.23x = 668.31 × 287.75
  4. Step 4: Simplify right side
    484.23x = 192,302.86
  5. Step 5: Solve for x
    x = 192,302.86/484.23
  6. Step 6: Final answer
    x = 397.13

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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.