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Finding the Fourth Proportional to 638.70, 957.43 and 309.43

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Solution

The fourth proportional to 638.70, 957.43 and 309.43 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.70 : 957.43 = 309.43 : x
  2. Step 2: Convert to fraction form
    638.70/957.43 = 309.43/x
  3. Step 3: Cross multiply
    638.70x = 957.43 × 309.43
  4. Step 4: Simplify right side
    638.70x = 296,257.56
  5. Step 5: Solve for x
    x = 296,257.56/638.70
  6. Step 6: Final answer
    x = 463.84

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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.