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Finding the Fourth Proportional to 523.60, 784.26 and 379

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Solution

The fourth proportional to 523.60, 784.26 and 379 is: 567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 784.26 = 379 : x
  2. Step 2: Convert to fraction form
    523.60/784.26 = 379/x
  3. Step 3: Cross multiply
    523.60x = 784.26 × 379
  4. Step 4: Simplify right side
    523.60x = 297,234.54
  5. Step 5: Solve for x
    x = 297,234.54/523.60
  6. Step 6: Final answer
    x = 567.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.