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Finding the Fourth Proportional to 347.94, 523.02 and 280.22

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Solution

The fourth proportional to 347.94, 523.02 and 280.22 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.94 : 523.02 = 280.22 : x
  2. Step 2: Convert to fraction form
    347.94/523.02 = 280.22/x
  3. Step 3: Cross multiply
    347.94x = 523.02 × 280.22
  4. Step 4: Simplify right side
    347.94x = 146,558.05
  5. Step 5: Solve for x
    x = 146,558.05/347.94
  6. Step 6: Final answer
    x = 421.22

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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.