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Finding the Fourth Proportional to 701.93, 968.44 and 422.27

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Solution

The fourth proportional to 701.93, 968.44 and 422.27 is: 582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.93 : 968.44 = 422.27 : x
  2. Step 2: Convert to fraction form
    701.93/968.44 = 422.27/x
  3. Step 3: Cross multiply
    701.93x = 968.44 × 422.27
  4. Step 4: Simplify right side
    701.93x = 408,946.11
  5. Step 5: Solve for x
    x = 408,946.11/701.93
  6. Step 6: Final answer
    x = 582.60

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1.5x scale

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.