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Finding the Fourth Proportional to 413.60, 619.58 and 259.44

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Solution

The fourth proportional to 413.60, 619.58 and 259.44 is: 388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.60 : 619.58 = 259.44 : x
  2. Step 2: Convert to fraction form
    413.60/619.58 = 259.44/x
  3. Step 3: Cross multiply
    413.60x = 619.58 × 259.44
  4. Step 4: Simplify right side
    413.60x = 160,743.84
  5. Step 5: Solve for x
    x = 160,743.84/413.60
  6. Step 6: Final answer
    x = 388.65

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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.