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Finding the Fourth Proportional to 823.36, 1,235.08 and 275.44

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Solution

The fourth proportional to 823.36, 1,235.08 and 275.44 is: 413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.36 : 1,235.08 = 275.44 : x
  2. Step 2: Convert to fraction form
    823.36/1,235.08 = 275.44/x
  3. Step 3: Cross multiply
    823.36x = 1,235.08 × 275.44
  4. Step 4: Simplify right side
    823.36x = 340,190.44
  5. Step 5: Solve for x
    x = 340,190.44/823.36
  6. Step 6: Final answer
    x = 413.17

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.