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Finding the Fourth Proportional to 635.24, 876.78 and 413.81

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Solution

The fourth proportional to 635.24, 876.78 and 413.81 is: 571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.24 : 876.78 = 413.81 : x
  2. Step 2: Convert to fraction form
    635.24/876.78 = 413.81/x
  3. Step 3: Cross multiply
    635.24x = 876.78 × 413.81
  4. Step 4: Simplify right side
    635.24x = 362,814.91
  5. Step 5: Solve for x
    x = 362,814.91/635.24
  6. Step 6: Final answer
    x = 571.15

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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.