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Finding the Fourth Proportional to 376.80, 522.60 and 369.60

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Solution

The fourth proportional to 376.80, 522.60 and 369.60 is: 512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.80 : 522.60 = 369.60 : x
  2. Step 2: Convert to fraction form
    376.80/522.60 = 369.60/x
  3. Step 3: Cross multiply
    376.80x = 522.60 × 369.60
  4. Step 4: Simplify right side
    376.80x = 193,152.96
  5. Step 5: Solve for x
    x = 193,152.96/376.80
  6. Step 6: Final answer
    x = 512.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.