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Finding the Fourth Proportional to 496.24, 684.74 and 275.16

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Solution

The fourth proportional to 496.24, 684.74 and 275.16 is: 379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.24 : 684.74 = 275.16 : x
  2. Step 2: Convert to fraction form
    496.24/684.74 = 275.16/x
  3. Step 3: Cross multiply
    496.24x = 684.74 × 275.16
  4. Step 4: Simplify right side
    496.24x = 188,413.06
  5. Step 5: Solve for x
    x = 188,413.06/496.24
  6. Step 6: Final answer
    x = 379.68

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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.