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Finding the Fourth Proportional to 455.24, 679.33 and 406.09

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Solution

The fourth proportional to 455.24, 679.33 and 406.09 is: 605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.24 : 679.33 = 406.09 : x
  2. Step 2: Convert to fraction form
    455.24/679.33 = 406.09/x
  3. Step 3: Cross multiply
    455.24x = 679.33 × 406.09
  4. Step 4: Simplify right side
    455.24x = 275,869.12
  5. Step 5: Solve for x
    x = 275,869.12/455.24
  6. Step 6: Final answer
    x = 605.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.