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Finding the Fourth Proportional to 401.55, 601.79 and 206.54

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Solution

The fourth proportional to 401.55, 601.79 and 206.54 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.55 : 601.79 = 206.54 : x
  2. Step 2: Convert to fraction form
    401.55/601.79 = 206.54/x
  3. Step 3: Cross multiply
    401.55x = 601.79 × 206.54
  4. Step 4: Simplify right side
    401.55x = 124,295.73
  5. Step 5: Solve for x
    x = 124,295.73/401.55
  6. Step 6: Final answer
    x = 309.54

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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.