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Finding the Fourth Proportional to 1,442.16, 2,163.24 and 416.16

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Solution

The fourth proportional to 1,442.16, 2,163.24 and 416.16 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.16 : 2,163.24 = 416.16 : x
  2. Step 2: Convert to fraction form
    1,442.16/2,163.24 = 416.16/x
  3. Step 3: Cross multiply
    1,442.16x = 2,163.24 × 416.16
  4. Step 4: Simplify right side
    1,442.16x = 900,253.96
  5. Step 5: Solve for x
    x = 900,253.96/1,442.16
  6. Step 6: Final answer
    x = 624.24

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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.