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Finding the Fourth Proportional to 401.04, 601.04 and 227.64

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Solution

The fourth proportional to 401.04, 601.04 and 227.64 is: 341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.04 : 601.04 = 227.64 : x
  2. Step 2: Convert to fraction form
    401.04/601.04 = 227.64/x
  3. Step 3: Cross multiply
    401.04x = 601.04 × 227.64
  4. Step 4: Simplify right side
    401.04x = 136,819.61
  5. Step 5: Solve for x
    x = 136,819.61/401.04
  6. Step 6: Final answer
    x = 341.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.