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Finding the Fourth Proportional to 647.07, 892.89 and 367.32

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Solution

The fourth proportional to 647.07, 892.89 and 367.32 is: 506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.07 : 892.89 = 367.32 : x
  2. Step 2: Convert to fraction form
    647.07/892.89 = 367.32/x
  3. Step 3: Cross multiply
    647.07x = 892.89 × 367.32
  4. Step 4: Simplify right side
    647.07x = 327,976.35
  5. Step 5: Solve for x
    x = 327,976.35/647.07
  6. Step 6: Final answer
    x = 506.86

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