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Finding the Fourth Proportional to 452.51, 677.69 and 221.55

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Solution

The fourth proportional to 452.51, 677.69 and 221.55 is: 331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.51 : 677.69 = 221.55 : x
  2. Step 2: Convert to fraction form
    452.51/677.69 = 221.55/x
  3. Step 3: Cross multiply
    452.51x = 677.69 × 221.55
  4. Step 4: Simplify right side
    452.51x = 150,141.11
  5. Step 5: Solve for x
    x = 150,141.11/452.51
  6. Step 6: Final answer
    x = 331.80

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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.