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Finding the Fourth Proportional to 647, 892.84 and 352.27

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Solution

The fourth proportional to 647, 892.84 and 352.27 is: 486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647 : 892.84 = 352.27 : x
  2. Step 2: Convert to fraction form
    647/892.84 = 352.27/x
  3. Step 3: Cross multiply
    647x = 892.84 × 352.27
  4. Step 4: Simplify right side
    647x = 314,520.75
  5. Step 5: Solve for x
    x = 314,520.75/647
  6. Step 6: Final answer
    x = 486.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.