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Finding the Fourth Proportional to 401.96, 603.18 and 231.08

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Solution

The fourth proportional to 401.96, 603.18 and 231.08 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.96 : 603.18 = 231.08 : x
  2. Step 2: Convert to fraction form
    401.96/603.18 = 231.08/x
  3. Step 3: Cross multiply
    401.96x = 603.18 × 231.08
  4. Step 4: Simplify right side
    401.96x = 139,382.83
  5. Step 5: Solve for x
    x = 139,382.83/401.96
  6. Step 6: Final answer
    x = 346.76

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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.