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Finding the Fourth Proportional to 552.70, 829.14 and 416.80

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Solution

The fourth proportional to 552.70, 829.14 and 416.80 is: 625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.70 : 829.14 = 416.80 : x
  2. Step 2: Convert to fraction form
    552.70/829.14 = 416.80/x
  3. Step 3: Cross multiply
    552.70x = 829.14 × 416.80
  4. Step 4: Simplify right side
    552.70x = 345,585.55
  5. Step 5: Solve for x
    x = 345,585.55/552.70
  6. Step 6: Final answer
    x = 625.27

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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.