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Finding the Fourth Proportional to 1,568.25, 2,352.42 and 414

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Solution

The fourth proportional to 1,568.25, 2,352.42 and 414 is: 621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.25 : 2,352.42 = 414 : x
  2. Step 2: Convert to fraction form
    1,568.25/2,352.42 = 414/x
  3. Step 3: Cross multiply
    1,568.25x = 2,352.42 × 414
  4. Step 4: Simplify right side
    1,568.25x = 973,901.88
  5. Step 5: Solve for x
    x = 973,901.88/1,568.25
  6. Step 6: Final answer
    x = 621.01

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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.