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Finding the Fourth Proportional to 804.81, 1,207.25 and 227.69

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Solution

The fourth proportional to 804.81, 1,207.25 and 227.69 is: 341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.81 : 1,207.25 = 227.69 : x
  2. Step 2: Convert to fraction form
    804.81/1,207.25 = 227.69/x
  3. Step 3: Cross multiply
    804.81x = 1,207.25 × 227.69
  4. Step 4: Simplify right side
    804.81x = 274,878.75
  5. Step 5: Solve for x
    x = 274,878.75/804.81
  6. Step 6: Final answer
    x = 341.54

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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.