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Finding the Fourth Proportional to 362.68, 541.46 and 301.96

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Solution

The fourth proportional to 362.68, 541.46 and 301.96 is: 450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.68 : 541.46 = 301.96 : x
  2. Step 2: Convert to fraction form
    362.68/541.46 = 301.96/x
  3. Step 3: Cross multiply
    362.68x = 541.46 × 301.96
  4. Step 4: Simplify right side
    362.68x = 163,499.26
  5. Step 5: Solve for x
    x = 163,499.26/362.68
  6. Step 6: Final answer
    x = 450.81

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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.