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Finding the Fourth Proportional to 609.90, 841.01 and 413.07

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Solution

The fourth proportional to 609.90, 841.01 and 413.07 is: 569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.90 : 841.01 = 413.07 : x
  2. Step 2: Convert to fraction form
    609.90/841.01 = 413.07/x
  3. Step 3: Cross multiply
    609.90x = 841.01 × 413.07
  4. Step 4: Simplify right side
    609.90x = 347,393.94
  5. Step 5: Solve for x
    x = 347,393.94/609.90
  6. Step 6: Final answer
    x = 569.59

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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.