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Finding the Fourth Proportional to 635.12, 876.45 and 413.65

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Solution

The fourth proportional to 635.12, 876.45 and 413.65 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.12 : 876.45 = 413.65 : x
  2. Step 2: Convert to fraction form
    635.12/876.45 = 413.65/x
  3. Step 3: Cross multiply
    635.12x = 876.45 × 413.65
  4. Step 4: Simplify right side
    635.12x = 362,543.54
  5. Step 5: Solve for x
    x = 362,543.54/635.12
  6. Step 6: Final answer
    x = 570.83

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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.