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Finding the Fourth Proportional to 443.07, 610.69 and 310.33

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Solution

The fourth proportional to 443.07, 610.69 and 310.33 is: 427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.07 : 610.69 = 310.33 : x
  2. Step 2: Convert to fraction form
    443.07/610.69 = 310.33/x
  3. Step 3: Cross multiply
    443.07x = 610.69 × 310.33
  4. Step 4: Simplify right side
    443.07x = 189,516.00
  5. Step 5: Solve for x
    x = 189,516.00/443.07
  6. Step 6: Final answer
    x = 427.73

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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.