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Finding the Fourth Proportional to 401.84, 601.61 and 299.60

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Solution

The fourth proportional to 401.84, 601.61 and 299.60 is: 448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 601.61 = 299.60 : x
  2. Step 2: Convert to fraction form
    401.84/601.61 = 299.60/x
  3. Step 3: Cross multiply
    401.84x = 601.61 × 299.60
  4. Step 4: Simplify right side
    401.84x = 180,237.85
  5. Step 5: Solve for x
    x = 180,237.85/401.84
  6. Step 6: Final answer
    x = 448.54

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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.