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Finding the Fourth Proportional to 401.78, 601.77 and 299.24

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Solution

The fourth proportional to 401.78, 601.77 and 299.24 is: 448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.78 : 601.77 = 299.24 : x
  2. Step 2: Convert to fraction form
    401.78/601.77 = 299.24/x
  3. Step 3: Cross multiply
    401.78x = 601.77 × 299.24
  4. Step 4: Simplify right side
    401.78x = 180,073.65
  5. Step 5: Solve for x
    x = 180,073.65/401.78
  6. Step 6: Final answer
    x = 448.19

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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.