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Finding the Fourth Proportional to 804.35, 1,206.57 and 227.27

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Solution

The fourth proportional to 804.35, 1,206.57 and 227.27 is: 340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.35 : 1,206.57 = 227.27 : x
  2. Step 2: Convert to fraction form
    804.35/1,206.57 = 227.27/x
  3. Step 3: Cross multiply
    804.35x = 1,206.57 × 227.27
  4. Step 4: Simplify right side
    804.35x = 274,217.16
  5. Step 5: Solve for x
    x = 274,217.16/804.35
  6. Step 6: Final answer
    x = 340.92

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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.