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Finding the Fourth Proportional to 553.41, 829.44 and 379.80

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Solution

The fourth proportional to 553.41, 829.44 and 379.80 is: 569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.41 : 829.44 = 379.80 : x
  2. Step 2: Convert to fraction form
    553.41/829.44 = 379.80/x
  3. Step 3: Cross multiply
    553.41x = 829.44 × 379.80
  4. Step 4: Simplify right side
    553.41x = 315,021.31
  5. Step 5: Solve for x
    x = 315,021.31/553.41
  6. Step 6: Final answer
    x = 569.24

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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.