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Finding the Fourth Proportional to 443.39, 665.28 and 260.83

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Solution

The fourth proportional to 443.39, 665.28 and 260.83 is: 391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.39 : 665.28 = 260.83 : x
  2. Step 2: Convert to fraction form
    443.39/665.28 = 260.83/x
  3. Step 3: Cross multiply
    443.39x = 665.28 × 260.83
  4. Step 4: Simplify right side
    443.39x = 173,525.81
  5. Step 5: Solve for x
    x = 173,525.81/443.39
  6. Step 6: Final answer
    x = 391.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.