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Finding the Fourth Proportional to 419.20, 628.34 and 273.23

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Solution

The fourth proportional to 419.20, 628.34 and 273.23 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.20 : 628.34 = 273.23 : x
  2. Step 2: Convert to fraction form
    419.20/628.34 = 273.23/x
  3. Step 3: Cross multiply
    419.20x = 628.34 × 273.23
  4. Step 4: Simplify right side
    419.20x = 171,681.71
  5. Step 5: Solve for x
    x = 171,681.71/419.20
  6. Step 6: Final answer
    x = 409.54

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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.