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Finding the Fourth Proportional to 947.27, 1,419.94 and 362.12

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Solution

The fourth proportional to 947.27, 1,419.94 and 362.12 is: 542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.27 : 1,419.94 = 362.12 : x
  2. Step 2: Convert to fraction form
    947.27/1,419.94 = 362.12/x
  3. Step 3: Cross multiply
    947.27x = 1,419.94 × 362.12
  4. Step 4: Simplify right side
    947.27x = 514,182.03
  5. Step 5: Solve for x
    x = 514,182.03/947.27
  6. Step 6: Final answer
    x = 542.80

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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.