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Finding the Fourth Proportional to 443.98, 665.79 and 261.46

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Solution

The fourth proportional to 443.98, 665.79 and 261.46 is: 392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.98 : 665.79 = 261.46 : x
  2. Step 2: Convert to fraction form
    443.98/665.79 = 261.46/x
  3. Step 3: Cross multiply
    443.98x = 665.79 × 261.46
  4. Step 4: Simplify right side
    443.98x = 174,077.45
  5. Step 5: Solve for x
    x = 174,077.45/443.98
  6. Step 6: Final answer
    x = 392.08

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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.