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Finding the Fourth Proportional to 599.71, 827.16 and 413.26

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Solution

The fourth proportional to 599.71, 827.16 and 413.26 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.71 : 827.16 = 413.26 : x
  2. Step 2: Convert to fraction form
    599.71/827.16 = 413.26/x
  3. Step 3: Cross multiply
    599.71x = 827.16 × 413.26
  4. Step 4: Simplify right side
    599.71x = 341,832.14
  5. Step 5: Solve for x
    x = 341,832.14/599.71
  6. Step 6: Final answer
    x = 570.00

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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.