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Finding the Fourth Proportional to 552.70, 829 and 416.44

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Solution

The fourth proportional to 552.70, 829 and 416.44 is: 624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.70 : 829 = 416.44 : x
  2. Step 2: Convert to fraction form
    552.70/829 = 416.44/x
  3. Step 3: Cross multiply
    552.70x = 829 × 416.44
  4. Step 4: Simplify right side
    552.70x = 345,228.76
  5. Step 5: Solve for x
    x = 345,228.76/552.70
  6. Step 6: Final answer
    x = 624.62

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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.