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Finding the Fourth Proportional to 401.24, 601.74 and 144.76

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Solution

The fourth proportional to 401.24, 601.74 and 144.76 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.24 : 601.74 = 144.76 : x
  2. Step 2: Convert to fraction form
    401.24/601.74 = 144.76/x
  3. Step 3: Cross multiply
    401.24x = 601.74 × 144.76
  4. Step 4: Simplify right side
    401.24x = 87,107.88
  5. Step 5: Solve for x
    x = 87,107.88/401.24
  6. Step 6: Final answer
    x = 217.10

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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.