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Finding the Fourth Proportional to 380.94, 522.57 and 370.80

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Solution

The fourth proportional to 380.94, 522.57 and 370.80 is: 508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.94 : 522.57 = 370.80 : x
  2. Step 2: Convert to fraction form
    380.94/522.57 = 370.80/x
  3. Step 3: Cross multiply
    380.94x = 522.57 × 370.80
  4. Step 4: Simplify right side
    380.94x = 193,768.96
  5. Step 5: Solve for x
    x = 193,768.96/380.94
  6. Step 6: Final answer
    x = 508.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.