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Finding the Fourth Proportional to 362.12, 496.65 and 347.23

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Solution

The fourth proportional to 362.12, 496.65 and 347.23 is: 476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.12 : 496.65 = 347.23 : x
  2. Step 2: Convert to fraction form
    362.12/496.65 = 347.23/x
  3. Step 3: Cross multiply
    362.12x = 496.65 × 347.23
  4. Step 4: Simplify right side
    362.12x = 172,451.78
  5. Step 5: Solve for x
    x = 172,451.78/362.12
  6. Step 6: Final answer
    x = 476.23

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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.