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Finding the Fourth Proportional to 550.40, 824.36 and 275.90

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Solution

The fourth proportional to 550.40, 824.36 and 275.90 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 824.36 = 275.90 : x
  2. Step 2: Convert to fraction form
    550.40/824.36 = 275.90/x
  3. Step 3: Cross multiply
    550.40x = 824.36 × 275.90
  4. Step 4: Simplify right side
    550.40x = 227,440.92
  5. Step 5: Solve for x
    x = 227,440.92/550.40
  6. Step 6: Final answer
    x = 413.23

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Double scale
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Similar ratio
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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.