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Finding the Fourth Proportional to 443.48, 611.78 and 294.37

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Solution

The fourth proportional to 443.48, 611.78 and 294.37 is: 406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.48 : 611.78 = 294.37 : x
  2. Step 2: Convert to fraction form
    443.48/611.78 = 294.37/x
  3. Step 3: Cross multiply
    443.48x = 611.78 × 294.37
  4. Step 4: Simplify right side
    443.48x = 180,086.68
  5. Step 5: Solve for x
    x = 180,086.68/443.48
  6. Step 6: Final answer
    x = 406.08

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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.