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Finding the Fourth Proportional to 362.86, 541.22 and 323.98

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Solution

The fourth proportional to 362.86, 541.22 and 323.98 is: 483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.86 : 541.22 = 323.98 : x
  2. Step 2: Convert to fraction form
    362.86/541.22 = 323.98/x
  3. Step 3: Cross multiply
    362.86x = 541.22 × 323.98
  4. Step 4: Simplify right side
    362.86x = 175,344.46
  5. Step 5: Solve for x
    x = 175,344.46/362.86
  6. Step 6: Final answer
    x = 483.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.