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Finding the Fourth Proportional to 443.19, 611.14 and 310.53

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Solution

The fourth proportional to 443.19, 611.14 and 310.53 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.19 : 611.14 = 310.53 : x
  2. Step 2: Convert to fraction form
    443.19/611.14 = 310.53/x
  3. Step 3: Cross multiply
    443.19x = 611.14 × 310.53
  4. Step 4: Simplify right side
    443.19x = 189,777.30
  5. Step 5: Solve for x
    x = 189,777.30/443.19
  6. Step 6: Final answer
    x = 428.21

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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.