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Finding the Fourth Proportional to 638.09, 957.59 and 273.14

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Solution

The fourth proportional to 638.09, 957.59 and 273.14 is: 409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.09 : 957.59 = 273.14 : x
  2. Step 2: Convert to fraction form
    638.09/957.59 = 273.14/x
  3. Step 3: Cross multiply
    638.09x = 957.59 × 273.14
  4. Step 4: Simplify right side
    638.09x = 261,554.59
  5. Step 5: Solve for x
    x = 261,554.59/638.09
  6. Step 6: Final answer
    x = 409.90

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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.