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Finding the Fourth Proportional to 401.16, 601.27 and 227.91

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Solution

The fourth proportional to 401.16, 601.27 and 227.91 is: 341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.16 : 601.27 = 227.91 : x
  2. Step 2: Convert to fraction form
    401.16/601.27 = 227.91/x
  3. Step 3: Cross multiply
    401.16x = 601.27 × 227.91
  4. Step 4: Simplify right side
    401.16x = 137,035.45
  5. Step 5: Solve for x
    x = 137,035.45/401.16
  6. Step 6: Final answer
    x = 341.60

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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.