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Finding the Fourth Proportional to 347.37, 477.80 and 327.39

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Solution

The fourth proportional to 347.37, 477.80 and 327.39 is: 450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.37 : 477.80 = 327.39 : x
  2. Step 2: Convert to fraction form
    347.37/477.80 = 327.39/x
  3. Step 3: Cross multiply
    347.37x = 477.80 × 327.39
  4. Step 4: Simplify right side
    347.37x = 156,425.31
  5. Step 5: Solve for x
    x = 156,425.31/347.37
  6. Step 6: Final answer
    x = 450.31

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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.