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Finding the Fourth Proportional to 653.82, 981.38 and 380.44

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Solution

The fourth proportional to 653.82, 981.38 and 380.44 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 981.38 = 380.44 : x
  2. Step 2: Convert to fraction form
    653.82/981.38 = 380.44/x
  3. Step 3: Cross multiply
    653.82x = 981.38 × 380.44
  4. Step 4: Simplify right side
    653.82x = 373,358.39
  5. Step 5: Solve for x
    x = 373,358.39/653.82
  6. Step 6: Final answer
    x = 571.04

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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.