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Finding the Fourth Proportional to 484.53, 668.63 and 263.47

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Solution

The fourth proportional to 484.53, 668.63 and 263.47 is: 363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.53 : 668.63 = 263.47 : x
  2. Step 2: Convert to fraction form
    484.53/668.63 = 263.47/x
  3. Step 3: Cross multiply
    484.53x = 668.63 × 263.47
  4. Step 4: Simplify right side
    484.53x = 176,162.70
  5. Step 5: Solve for x
    x = 176,162.70/484.53
  6. Step 6: Final answer
    x = 363.58

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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.