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Finding the Fourth Proportional to 573.48, 790.83 and 413.60

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Solution

The fourth proportional to 573.48, 790.83 and 413.60 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 790.83 = 413.60 : x
  2. Step 2: Convert to fraction form
    573.48/790.83 = 413.60/x
  3. Step 3: Cross multiply
    573.48x = 790.83 × 413.60
  4. Step 4: Simplify right side
    573.48x = 327,083.33
  5. Step 5: Solve for x
    x = 327,083.33/573.48
  6. Step 6: Final answer
    x = 570.35

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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.