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Finding the Fourth Proportional to 394.16, 543.66 and 262.94

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Solution

The fourth proportional to 394.16, 543.66 and 262.94 is: 362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 543.66 = 262.94 : x
  2. Step 2: Convert to fraction form
    394.16/543.66 = 262.94/x
  3. Step 3: Cross multiply
    394.16x = 543.66 × 262.94
  4. Step 4: Simplify right side
    394.16x = 142,949.96
  5. Step 5: Solve for x
    x = 142,949.96/394.16
  6. Step 6: Final answer
    x = 362.67

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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.