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Finding the Fourth Proportional to 645.99, 968.22 and 275.73

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Solution

The fourth proportional to 645.99, 968.22 and 275.73 is: 413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.99 : 968.22 = 275.73 : x
  2. Step 2: Convert to fraction form
    645.99/968.22 = 275.73/x
  3. Step 3: Cross multiply
    645.99x = 968.22 × 275.73
  4. Step 4: Simplify right side
    645.99x = 266,967.30
  5. Step 5: Solve for x
    x = 266,967.30/645.99
  6. Step 6: Final answer
    x = 413.27

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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.