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Finding the Fourth Proportional to 379.37, 567.86 and 263.22

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Solution

The fourth proportional to 379.37, 567.86 and 263.22 is: 394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.37 : 567.86 = 263.22 : x
  2. Step 2: Convert to fraction form
    379.37/567.86 = 263.22/x
  3. Step 3: Cross multiply
    379.37x = 567.86 × 263.22
  4. Step 4: Simplify right side
    379.37x = 149,470.79
  5. Step 5: Solve for x
    x = 149,470.79/379.37
  6. Step 6: Final answer
    x = 394.00

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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.