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Finding the Fourth Proportional to 609.84, 841.68 and 413.22

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Solution

The fourth proportional to 609.84, 841.68 and 413.22 is: 570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.84 : 841.68 = 413.22 : x
  2. Step 2: Convert to fraction form
    609.84/841.68 = 413.22/x
  3. Step 3: Cross multiply
    609.84x = 841.68 × 413.22
  4. Step 4: Simplify right side
    609.84x = 347,799.01
  5. Step 5: Solve for x
    x = 347,799.01/609.84
  6. Step 6: Final answer
    x = 570.31

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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.