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Finding the Fourth Proportional to 635.01, 876.45 and 413.57

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Solution

The fourth proportional to 635.01, 876.45 and 413.57 is: 570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.01 : 876.45 = 413.57 : x
  2. Step 2: Convert to fraction form
    635.01/876.45 = 413.57/x
  3. Step 3: Cross multiply
    635.01x = 876.45 × 413.57
  4. Step 4: Simplify right side
    635.01x = 362,469.04
  5. Step 5: Solve for x
    x = 362,469.04/635.01
  6. Step 6: Final answer
    x = 570.81

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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.