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Finding the Fourth Proportional to 599.41, 897.89 and 413.85

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Solution

The fourth proportional to 599.41, 897.89 and 413.85 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.41 : 897.89 = 413.85 : x
  2. Step 2: Convert to fraction form
    599.41/897.89 = 413.85/x
  3. Step 3: Cross multiply
    599.41x = 897.89 × 413.85
  4. Step 4: Simplify right side
    599.41x = 371,593.07
  5. Step 5: Solve for x
    x = 371,593.07/599.41
  6. Step 6: Final answer
    x = 619.93

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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.