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Finding the Fourth Proportional to 632.94, 949.58 and 200.09

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Solution

The fourth proportional to 632.94, 949.58 and 200.09 is: 300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.94 : 949.58 = 200.09 : x
  2. Step 2: Convert to fraction form
    632.94/949.58 = 200.09/x
  3. Step 3: Cross multiply
    632.94x = 949.58 × 200.09
  4. Step 4: Simplify right side
    632.94x = 190,004.02
  5. Step 5: Solve for x
    x = 190,004.02/632.94
  6. Step 6: Final answer
    x = 300.19

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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.