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Finding the Fourth Proportional to 393.15, 542.76 and 361.92

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Solution

The fourth proportional to 393.15, 542.76 and 361.92 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.15 : 542.76 = 361.92 : x
  2. Step 2: Convert to fraction form
    393.15/542.76 = 361.92/x
  3. Step 3: Cross multiply
    393.15x = 542.76 × 361.92
  4. Step 4: Simplify right side
    393.15x = 196,435.70
  5. Step 5: Solve for x
    x = 196,435.70/393.15
  6. Step 6: Final answer
    x = 499.65

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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.