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Finding the Fourth Proportional to 403.81, 557.23 and 226.74

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Solution

The fourth proportional to 403.81, 557.23 and 226.74 is: 312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.81 : 557.23 = 226.74 : x
  2. Step 2: Convert to fraction form
    403.81/557.23 = 226.74/x
  3. Step 3: Cross multiply
    403.81x = 557.23 × 226.74
  4. Step 4: Simplify right side
    403.81x = 126,345.76
  5. Step 5: Solve for x
    x = 126,345.76/403.81
  6. Step 6: Final answer
    x = 312.89

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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.