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Finding the Fourth Proportional to 347.37, 479.27 and 209.37

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Solution

The fourth proportional to 347.37, 479.27 and 209.37 is: 288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.37 : 479.27 = 209.37 : x
  2. Step 2: Convert to fraction form
    347.37/479.27 = 209.37/x
  3. Step 3: Cross multiply
    347.37x = 479.27 × 209.37
  4. Step 4: Simplify right side
    347.37x = 100,343.71
  5. Step 5: Solve for x
    x = 100,343.71/347.37
  6. Step 6: Final answer
    x = 288.87

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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.