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Finding the Fourth Proportional to 452.60, 624.36 and 321.80

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Solution

The fourth proportional to 452.60, 624.36 and 321.80 is: 443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.60 : 624.36 = 321.80 : x
  2. Step 2: Convert to fraction form
    452.60/624.36 = 321.80/x
  3. Step 3: Cross multiply
    452.60x = 624.36 × 321.80
  4. Step 4: Simplify right side
    452.60x = 200,919.05
  5. Step 5: Solve for x
    x = 200,919.05/452.60
  6. Step 6: Final answer
    x = 443.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.