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Finding the Fourth Proportional to 609.84, 840.60 and 413.64

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Solution

The fourth proportional to 609.84, 840.60 and 413.64 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.84 : 840.60 = 413.64 : x
  2. Step 2: Convert to fraction form
    609.84/840.60 = 413.64/x
  3. Step 3: Cross multiply
    609.84x = 840.60 × 413.64
  4. Step 4: Simplify right side
    609.84x = 347,705.78
  5. Step 5: Solve for x
    x = 347,705.78/609.84
  6. Step 6: Final answer
    x = 570.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.