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Finding the Fourth Proportional to 1,442.42, 2,163.55 and 402.41

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Solution

The fourth proportional to 1,442.42, 2,163.55 and 402.41 is: 603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.42 : 2,163.55 = 402.41 : x
  2. Step 2: Convert to fraction form
    1,442.42/2,163.55 = 402.41/x
  3. Step 3: Cross multiply
    1,442.42x = 2,163.55 × 402.41
  4. Step 4: Simplify right side
    1,442.42x = 870,634.16
  5. Step 5: Solve for x
    x = 870,634.16/1,442.42
  6. Step 6: Final answer
    x = 603.59

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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.