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Finding the Fourth Proportional to 347.09, 478.91 and 199.69

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Solution

The fourth proportional to 347.09, 478.91 and 199.69 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.09 : 478.91 = 199.69 : x
  2. Step 2: Convert to fraction form
    347.09/478.91 = 199.69/x
  3. Step 3: Cross multiply
    347.09x = 478.91 × 199.69
  4. Step 4: Simplify right side
    347.09x = 95,632.84
  5. Step 5: Solve for x
    x = 95,632.84/347.09
  6. Step 6: Final answer
    x = 275.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.