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Finding the Fourth Proportional to 443.24, 611.78 and 312.29

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Solution

The fourth proportional to 443.24, 611.78 and 312.29 is: 431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.24 : 611.78 = 312.29 : x
  2. Step 2: Convert to fraction form
    443.24/611.78 = 312.29/x
  3. Step 3: Cross multiply
    443.24x = 611.78 × 312.29
  4. Step 4: Simplify right side
    443.24x = 191,052.78
  5. Step 5: Solve for x
    x = 191,052.78/443.24
  6. Step 6: Final answer
    x = 431.04

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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.