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Finding the Fourth Proportional to 552.50, 829.14 and 263.96

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Solution

The fourth proportional to 552.50, 829.14 and 263.96 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.50 : 829.14 = 263.96 : x
  2. Step 2: Convert to fraction form
    552.50/829.14 = 263.96/x
  3. Step 3: Cross multiply
    552.50x = 829.14 × 263.96
  4. Step 4: Simplify right side
    552.50x = 218,859.79
  5. Step 5: Solve for x
    x = 218,859.79/552.50
  6. Step 6: Final answer
    x = 396.13

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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.