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Finding the Fourth Proportional to 553.27, 828.99 and 347.33

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Solution

The fourth proportional to 553.27, 828.99 and 347.33 is: 520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.27 : 828.99 = 347.33 : x
  2. Step 2: Convert to fraction form
    553.27/828.99 = 347.33/x
  3. Step 3: Cross multiply
    553.27x = 828.99 × 347.33
  4. Step 4: Simplify right side
    553.27x = 287,933.10
  5. Step 5: Solve for x
    x = 287,933.10/553.27
  6. Step 6: Final answer
    x = 520.42

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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.