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Finding the Fourth Proportional to 392.76, 543.18 and 343.55

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Solution

The fourth proportional to 392.76, 543.18 and 343.55 is: 475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.76 : 543.18 = 343.55 : x
  2. Step 2: Convert to fraction form
    392.76/543.18 = 343.55/x
  3. Step 3: Cross multiply
    392.76x = 543.18 × 343.55
  4. Step 4: Simplify right side
    392.76x = 186,609.49
  5. Step 5: Solve for x
    x = 186,609.49/392.76
  6. Step 6: Final answer
    x = 475.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.