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Finding the Fourth Proportional to 321.87, 441.29 and 316.04

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Solution

The fourth proportional to 321.87, 441.29 and 316.04 is: 433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.87 : 441.29 = 316.04 : x
  2. Step 2: Convert to fraction form
    321.87/441.29 = 316.04/x
  3. Step 3: Cross multiply
    321.87x = 441.29 × 316.04
  4. Step 4: Simplify right side
    321.87x = 139,461.50
  5. Step 5: Solve for x
    x = 139,461.50/321.87
  6. Step 6: Final answer
    x = 433.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.