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Finding the Fourth Proportional to 674.96, 931.26 and 380.20

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Solution

The fourth proportional to 674.96, 931.26 and 380.20 is: 524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.96 : 931.26 = 380.20 : x
  2. Step 2: Convert to fraction form
    674.96/931.26 = 380.20/x
  3. Step 3: Cross multiply
    674.96x = 931.26 × 380.20
  4. Step 4: Simplify right side
    674.96x = 354,065.05
  5. Step 5: Solve for x
    x = 354,065.05/674.96
  6. Step 6: Final answer
    x = 524.57

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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.