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Finding the Fourth Proportional to 452.89, 679.41 and 270.19

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Solution

The fourth proportional to 452.89, 679.41 and 270.19 is: 405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.89 : 679.41 = 270.19 : x
  2. Step 2: Convert to fraction form
    452.89/679.41 = 270.19/x
  3. Step 3: Cross multiply
    452.89x = 679.41 × 270.19
  4. Step 4: Simplify right side
    452.89x = 183,569.79
  5. Step 5: Solve for x
    x = 183,569.79/452.89
  6. Step 6: Final answer
    x = 405.33

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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.