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Finding the Fourth Proportional to 379.67, 566.96 and 297.59

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Solution

The fourth proportional to 379.67, 566.96 and 297.59 is: 444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.67 : 566.96 = 297.59 : x
  2. Step 2: Convert to fraction form
    379.67/566.96 = 297.59/x
  3. Step 3: Cross multiply
    379.67x = 566.96 × 297.59
  4. Step 4: Simplify right side
    379.67x = 168,717.30
  5. Step 5: Solve for x
    x = 168,717.30/379.67
  6. Step 6: Final answer
    x = 444.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.