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Finding the Fourth Proportional to 484.71, 668.91 and 263.66

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Solution

The fourth proportional to 484.71, 668.91 and 263.66 is: 363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.71 : 668.91 = 263.66 : x
  2. Step 2: Convert to fraction form
    484.71/668.91 = 263.66/x
  3. Step 3: Cross multiply
    484.71x = 668.91 × 263.66
  4. Step 4: Simplify right side
    484.71x = 176,360.97
  5. Step 5: Solve for x
    x = 176,360.97/484.71
  6. Step 6: Final answer
    x = 363.85

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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.