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Finding the Fourth Proportional to 443.29, 611.76 and 312.34

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Solution

The fourth proportional to 443.29, 611.76 and 312.34 is: 431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.29 : 611.76 = 312.34 : x
  2. Step 2: Convert to fraction form
    443.29/611.76 = 312.34/x
  3. Step 3: Cross multiply
    443.29x = 611.76 × 312.34
  4. Step 4: Simplify right side
    443.29x = 191,077.12
  5. Step 5: Solve for x
    x = 191,077.12/443.29
  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.