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Finding the Fourth Proportional to 443.84, 611.02 and 333.13

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Solution

The fourth proportional to 443.84, 611.02 and 333.13 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.84 : 611.02 = 333.13 : x
  2. Step 2: Convert to fraction form
    443.84/611.02 = 333.13/x
  3. Step 3: Cross multiply
    443.84x = 611.02 × 333.13
  4. Step 4: Simplify right side
    443.84x = 203,549.09
  5. Step 5: Solve for x
    x = 203,549.09/443.84
  6. Step 6: Final answer
    x = 458.61

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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.