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Finding the Fourth Proportional to 393.86, 543.30 and 320.24

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Solution

The fourth proportional to 393.86, 543.30 and 320.24 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.86 : 543.30 = 320.24 : x
  2. Step 2: Convert to fraction form
    393.86/543.30 = 320.24/x
  3. Step 3: Cross multiply
    393.86x = 543.30 × 320.24
  4. Step 4: Simplify right side
    393.86x = 173,986.39
  5. Step 5: Solve for x
    x = 173,986.39/393.86
  6. Step 6: Final answer
    x = 441.75

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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.