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Finding the Fourth Proportional to 362.63, 497.34 and 347.73

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Solution

The fourth proportional to 362.63, 497.34 and 347.73 is: 476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.63 : 497.34 = 347.73 : x
  2. Step 2: Convert to fraction form
    362.63/497.34 = 347.73/x
  3. Step 3: Cross multiply
    362.63x = 497.34 × 347.73
  4. Step 4: Simplify right side
    362.63x = 172,940.04
  5. Step 5: Solve for x
    x = 172,940.04/362.63
  6. Step 6: Final answer
    x = 476.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.