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Finding the Fourth Proportional to 552.39, 828.79 and 263.63

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Solution

The fourth proportional to 552.39, 828.79 and 263.63 is: 395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.39 : 828.79 = 263.63 : x
  2. Step 2: Convert to fraction form
    552.39/828.79 = 263.63/x
  3. Step 3: Cross multiply
    552.39x = 828.79 × 263.63
  4. Step 4: Simplify right side
    552.39x = 218,489.76
  5. Step 5: Solve for x
    x = 218,489.76/552.39
  6. Step 6: Final answer
    x = 395.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.