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Finding the Fourth Proportional to 552.43, 828.66 and 409.06

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Solution

The fourth proportional to 552.43, 828.66 and 409.06 is: 613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.43 : 828.66 = 409.06 : x
  2. Step 2: Convert to fraction form
    552.43/828.66 = 409.06/x
  3. Step 3: Cross multiply
    552.43x = 828.66 × 409.06
  4. Step 4: Simplify right side
    552.43x = 338,971.66
  5. Step 5: Solve for x
    x = 338,971.66/552.43
  6. Step 6: Final answer
    x = 613.60

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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.