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Finding the Fourth Proportional to 823.50, 1,235.21 and 275.53

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Solution

The fourth proportional to 823.50, 1,235.21 and 275.53 is: 413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,235.21 = 275.53 : x
  2. Step 2: Convert to fraction form
    823.50/1,235.21 = 275.53/x
  3. Step 3: Cross multiply
    823.50x = 1,235.21 × 275.53
  4. Step 4: Simplify right side
    823.50x = 340,337.41
  5. Step 5: Solve for x
    x = 340,337.41/823.50
  6. Step 6: Final answer
    x = 413.28

Related Problems

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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.