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Finding the Fourth Proportional to 393.80, 543.46 and 295.88

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Solution

The fourth proportional to 393.80, 543.46 and 295.88 is: 408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.80 : 543.46 = 295.88 : x
  2. Step 2: Convert to fraction form
    393.80/543.46 = 295.88/x
  3. Step 3: Cross multiply
    393.80x = 543.46 × 295.88
  4. Step 4: Simplify right side
    393.80x = 160,798.94
  5. Step 5: Solve for x
    x = 160,798.94/393.80
  6. Step 6: Final answer
    x = 408.33

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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.