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Finding the Fourth Proportional to 379.59, 523.57 and 366.89

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Solution

The fourth proportional to 379.59, 523.57 and 366.89 is: 506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.59 : 523.57 = 366.89 : x
  2. Step 2: Convert to fraction form
    379.59/523.57 = 366.89/x
  3. Step 3: Cross multiply
    379.59x = 523.57 × 366.89
  4. Step 4: Simplify right side
    379.59x = 192,090.76
  5. Step 5: Solve for x
    x = 192,090.76/379.59
  6. Step 6: Final answer
    x = 506.05

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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.