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Finding the Fourth Proportional to 484.10, 668.16 and 287.66

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Solution

The fourth proportional to 484.10, 668.16 and 287.66 is: 397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.10 : 668.16 = 287.66 : x
  2. Step 2: Convert to fraction form
    484.10/668.16 = 287.66/x
  3. Step 3: Cross multiply
    484.10x = 668.16 × 287.66
  4. Step 4: Simplify right side
    484.10x = 192,202.91
  5. Step 5: Solve for x
    x = 192,202.91/484.10
  6. Step 6: Final answer
    x = 397.03

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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.