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Finding the Fourth Proportional to 609.51, 841.41 and 413.34

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Solution

The fourth proportional to 609.51, 841.41 and 413.34 is: 570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.51 : 841.41 = 413.34 : x
  2. Step 2: Convert to fraction form
    609.51/841.41 = 413.34/x
  3. Step 3: Cross multiply
    609.51x = 841.41 × 413.34
  4. Step 4: Simplify right side
    609.51x = 347,788.41
  5. Step 5: Solve for x
    x = 347,788.41/609.51
  6. Step 6: Final answer
    x = 570.60

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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.