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Finding the Fourth Proportional to 394.02, 543.24 and 289.02

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Solution

The fourth proportional to 394.02, 543.24 and 289.02 is: 398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.02 : 543.24 = 289.02 : x
  2. Step 2: Convert to fraction form
    394.02/543.24 = 289.02/x
  3. Step 3: Cross multiply
    394.02x = 543.24 × 289.02
  4. Step 4: Simplify right side
    394.02x = 157,007.22
  5. Step 5: Solve for x
    x = 157,007.22/394.02
  6. Step 6: Final answer
    x = 398.48

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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.