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Finding the Fourth Proportional to 471.74, 706.35 and 379.94

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Solution

The fourth proportional to 471.74, 706.35 and 379.94 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.74 : 706.35 = 379.94 : x
  2. Step 2: Convert to fraction form
    471.74/706.35 = 379.94/x
  3. Step 3: Cross multiply
    471.74x = 706.35 × 379.94
  4. Step 4: Simplify right side
    471.74x = 268,370.62
  5. Step 5: Solve for x
    x = 268,370.62/471.74
  6. Step 6: Final answer
    x = 568.90

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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.