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Finding the Fourth Proportional to 347.69, 478.41 and 339.49

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Solution

The fourth proportional to 347.69, 478.41 and 339.49 is: 467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.69 : 478.41 = 339.49 : x
  2. Step 2: Convert to fraction form
    347.69/478.41 = 339.49/x
  3. Step 3: Cross multiply
    347.69x = 478.41 × 339.49
  4. Step 4: Simplify right side
    347.69x = 162,414.74
  5. Step 5: Solve for x
    x = 162,414.74/347.69
  6. Step 6: Final answer
    x = 467.12

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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.