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Finding the Fourth Proportional to 608.64, 911.94 and 413.40

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Solution

The fourth proportional to 608.64, 911.94 and 413.40 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 911.94 = 413.40 : x
  2. Step 2: Convert to fraction form
    608.64/911.94 = 413.40/x
  3. Step 3: Cross multiply
    608.64x = 911.94 × 413.40
  4. Step 4: Simplify right side
    608.64x = 376,996.00
  5. Step 5: Solve for x
    x = 376,996.00/608.64
  6. Step 6: Final answer
    x = 619.41

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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.