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Finding the Fourth Proportional to 443.94, 664.07 and 346.74

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Solution

The fourth proportional to 443.94, 664.07 and 346.74 is: 518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.94 : 664.07 = 346.74 : x
  2. Step 2: Convert to fraction form
    443.94/664.07 = 346.74/x
  3. Step 3: Cross multiply
    443.94x = 664.07 × 346.74
  4. Step 4: Simplify right side
    443.94x = 230,257.90
  5. Step 5: Solve for x
    x = 230,257.90/443.94
  6. Step 6: Final answer
    x = 518.67

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Why These Related Problems?

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