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Finding the Fourth Proportional to 599.75, 827.51 and 413.58

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Solution

The fourth proportional to 599.75, 827.51 and 413.58 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.75 : 827.51 = 413.58 : x
  2. Step 2: Convert to fraction form
    599.75/827.51 = 413.58/x
  3. Step 3: Cross multiply
    599.75x = 827.51 × 413.58
  4. Step 4: Simplify right side
    599.75x = 342,239.52
  5. Step 5: Solve for x
    x = 342,239.52/599.75
  6. Step 6: Final answer
    x = 570.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.