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Finding the Fourth Proportional to 995.05, 1,491.63 and 378.37

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Solution

The fourth proportional to 995.05, 1,491.63 and 378.37 is: 567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.05 : 1,491.63 = 378.37 : x
  2. Step 2: Convert to fraction form
    995.05/1,491.63 = 378.37/x
  3. Step 3: Cross multiply
    995.05x = 1,491.63 × 378.37
  4. Step 4: Simplify right side
    995.05x = 564,388.04
  5. Step 5: Solve for x
    x = 564,388.04/995.05
  6. Step 6: Final answer
    x = 567.20

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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.