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Finding the Fourth Proportional to 552.03, 827.71 and 259.59

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Solution

The fourth proportional to 552.03, 827.71 and 259.59 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.03 : 827.71 = 259.59 : x
  2. Step 2: Convert to fraction form
    552.03/827.71 = 259.59/x
  3. Step 3: Cross multiply
    552.03x = 827.71 × 259.59
  4. Step 4: Simplify right side
    552.03x = 214,867.26
  5. Step 5: Solve for x
    x = 214,867.26/552.03
  6. Step 6: Final answer
    x = 389.23

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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.