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Finding the Fourth Proportional to 552.06, 827.31 and 429.78

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Solution

The fourth proportional to 552.06, 827.31 and 429.78 is: 644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.06 : 827.31 = 429.78 : x
  2. Step 2: Convert to fraction form
    552.06/827.31 = 429.78/x
  3. Step 3: Cross multiply
    552.06x = 827.31 × 429.78
  4. Step 4: Simplify right side
    552.06x = 355,561.29
  5. Step 5: Solve for x
    x = 355,561.29/552.06
  6. Step 6: Final answer
    x = 644.06

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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.