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Finding the Fourth Proportional to 609.49, 912.88 and 413.65

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Solution

The fourth proportional to 609.49, 912.88 and 413.65 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.49 : 912.88 = 413.65 : x
  2. Step 2: Convert to fraction form
    609.49/912.88 = 413.65/x
  3. Step 3: Cross multiply
    609.49x = 912.88 × 413.65
  4. Step 4: Simplify right side
    609.49x = 377,612.81
  5. Step 5: Solve for x
    x = 377,612.81/609.49
  6. Step 6: Final answer
    x = 619.56

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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.