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Finding the Fourth Proportional to 552.24, 828.60 and 263.64

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Solution

The fourth proportional to 552.24, 828.60 and 263.64 is: 395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.24 : 828.60 = 263.64 : x
  2. Step 2: Convert to fraction form
    552.24/828.60 = 263.64/x
  3. Step 3: Cross multiply
    552.24x = 828.60 × 263.64
  4. Step 4: Simplify right side
    552.24x = 218,452.10
  5. Step 5: Solve for x
    x = 218,452.10/552.24
  6. Step 6: Final answer
    x = 395.57

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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.