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Finding the Fourth Proportional to 1,568.19, 2,352.28 and 398.28

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Solution

The fourth proportional to 1,568.19, 2,352.28 and 398.28 is: 597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.19 : 2,352.28 = 398.28 : x
  2. Step 2: Convert to fraction form
    1,568.19/2,352.28 = 398.28/x
  3. Step 3: Cross multiply
    1,568.19x = 2,352.28 × 398.28
  4. Step 4: Simplify right side
    1,568.19x = 936,865.68
  5. Step 5: Solve for x
    x = 936,865.68/1,568.19
  6. Step 6: Final answer
    x = 597.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.