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Finding the Fourth Proportional to 393.77, 542.57 and 323.60

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Solution

The fourth proportional to 393.77, 542.57 and 323.60 is: 445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.77 : 542.57 = 323.60 : x
  2. Step 2: Convert to fraction form
    393.77/542.57 = 323.60/x
  3. Step 3: Cross multiply
    393.77x = 542.57 × 323.60
  4. Step 4: Simplify right side
    393.77x = 175,571.32
  5. Step 5: Solve for x
    x = 175,571.32/393.77
  6. Step 6: Final answer
    x = 445.88

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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.