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Finding the Fourth Proportional to 946.56, 1,419.28 and 398.44

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Solution

The fourth proportional to 946.56, 1,419.28 and 398.44 is: 597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.56 : 1,419.28 = 398.44 : x
  2. Step 2: Convert to fraction form
    946.56/1,419.28 = 398.44/x
  3. Step 3: Cross multiply
    946.56x = 1,419.28 × 398.44
  4. Step 4: Simplify right side
    946.56x = 565,498.70
  5. Step 5: Solve for x
    x = 565,498.70/946.56
  6. Step 6: Final answer
    x = 597.43

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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.