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Finding the Fourth Proportional to 961.44, 1,442.40 and 413.52

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Solution

The fourth proportional to 961.44, 1,442.40 and 413.52 is: 620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.44 : 1,442.40 = 413.52 : x
  2. Step 2: Convert to fraction form
    961.44/1,442.40 = 413.52/x
  3. Step 3: Cross multiply
    961.44x = 1,442.40 × 413.52
  4. Step 4: Simplify right side
    961.44x = 596,461.25
  5. Step 5: Solve for x
    x = 596,461.25/961.44
  6. Step 6: Final answer
    x = 620.38

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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.