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Finding the Fourth Proportional to 638.96, 958.17 and 200.10

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Solution

The fourth proportional to 638.96, 958.17 and 200.10 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.96 : 958.17 = 200.10 : x
  2. Step 2: Convert to fraction form
    638.96/958.17 = 200.10/x
  3. Step 3: Cross multiply
    638.96x = 958.17 × 200.10
  4. Step 4: Simplify right side
    638.96x = 191,725.03
  5. Step 5: Solve for x
    x = 191,725.03/638.96
  6. Step 6: Final answer
    x = 300.06

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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.