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Finding the Fourth Proportional to 352.77, 528.97 and 206.57

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Solution

The fourth proportional to 352.77, 528.97 and 206.57 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.77 : 528.97 = 206.57 : x
  2. Step 2: Convert to fraction form
    352.77/528.97 = 206.57/x
  3. Step 3: Cross multiply
    352.77x = 528.97 × 206.57
  4. Step 4: Simplify right side
    352.77x = 109,269.33
  5. Step 5: Solve for x
    x = 109,269.33/352.77
  6. Step 6: Final answer
    x = 309.75

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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.