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Finding the Fourth Proportional to 552.54, 828.94 and 498.80

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Solution

The fourth proportional to 552.54, 828.94 and 498.80 is: 748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.54 : 828.94 = 498.80 : x
  2. Step 2: Convert to fraction form
    552.54/828.94 = 498.80/x
  3. Step 3: Cross multiply
    552.54x = 828.94 × 498.80
  4. Step 4: Simplify right side
    552.54x = 413,475.27
  5. Step 5: Solve for x
    x = 413,475.27/552.54
  6. Step 6: Final answer
    x = 748.32

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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.