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Finding the Fourth Proportional to 1,568.19, 2,352.21 and 398.22

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Solution

The fourth proportional to 1,568.19, 2,352.21 and 398.22 is: 597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.19 : 2,352.21 = 398.22 : x
  2. Step 2: Convert to fraction form
    1,568.19/2,352.21 = 398.22/x
  3. Step 3: Cross multiply
    1,568.19x = 2,352.21 × 398.22
  4. Step 4: Simplify right side
    1,568.19x = 936,697.07
  5. Step 5: Solve for x
    x = 936,697.07/1,568.19
  6. Step 6: Final answer
    x = 597.31

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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.