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Finding the Fourth Proportional to 596.06, 893.04 and 413.57

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Solution

The fourth proportional to 596.06, 893.04 and 413.57 is: 619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.06 : 893.04 = 413.57 : x
  2. Step 2: Convert to fraction form
    596.06/893.04 = 413.57/x
  3. Step 3: Cross multiply
    596.06x = 893.04 × 413.57
  4. Step 4: Simplify right side
    596.06x = 369,334.55
  5. Step 5: Solve for x
    x = 369,334.55/596.06
  6. Step 6: Final answer
    x = 619.63

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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.