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Finding the Fourth Proportional to 347.98, 521.97 and 204.61

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Solution

The fourth proportional to 347.98, 521.97 and 204.61 is: 306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.98 : 521.97 = 204.61 : x
  2. Step 2: Convert to fraction form
    347.98/521.97 = 204.61/x
  3. Step 3: Cross multiply
    347.98x = 521.97 × 204.61
  4. Step 4: Simplify right side
    347.98x = 106,798.98
  5. Step 5: Solve for x
    x = 106,798.98/347.98
  6. Step 6: Final answer
    x = 306.91

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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.