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Finding the Fourth Proportional to 609.54, 841.01 and 413.31

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Solution

The fourth proportional to 609.54, 841.01 and 413.31 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.54 : 841.01 = 413.31 : x
  2. Step 2: Convert to fraction form
    609.54/841.01 = 413.31/x
  3. Step 3: Cross multiply
    609.54x = 841.01 × 413.31
  4. Step 4: Simplify right side
    609.54x = 347,597.84
  5. Step 5: Solve for x
    x = 347,597.84/609.54
  6. Step 6: Final answer
    x = 570.26

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