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Finding the Fourth Proportional to 599.84, 827.39 and 413.34

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Solution

The fourth proportional to 599.84, 827.39 and 413.34 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 827.39 = 413.34 : x
  2. Step 2: Convert to fraction form
    599.84/827.39 = 413.34/x
  3. Step 3: Cross multiply
    599.84x = 827.39 × 413.34
  4. Step 4: Simplify right side
    599.84x = 341,991.32
  5. Step 5: Solve for x
    x = 341,991.32/599.84
  6. Step 6: Final answer
    x = 570.14

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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.