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Finding the Fourth Proportional to 608.90, 912.92 and 413.42

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Solution

The fourth proportional to 608.90, 912.92 and 413.42 is: 619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.90 : 912.92 = 413.42 : x
  2. Step 2: Convert to fraction form
    608.90/912.92 = 413.42/x
  3. Step 3: Cross multiply
    608.90x = 912.92 × 413.42
  4. Step 4: Simplify right side
    608.90x = 377,412.75
  5. Step 5: Solve for x
    x = 377,412.75/608.90
  6. Step 6: Final answer
    x = 619.83

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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.