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Finding the Fourth Proportional to 619.90, 929.24 and 273.42

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Solution

The fourth proportional to 619.90, 929.24 and 273.42 is: 409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.90 : 929.24 = 273.42 : x
  2. Step 2: Convert to fraction form
    619.90/929.24 = 273.42/x
  3. Step 3: Cross multiply
    619.90x = 929.24 × 273.42
  4. Step 4: Simplify right side
    619.90x = 254,072.46
  5. Step 5: Solve for x
    x = 254,072.46/619.90
  6. Step 6: Final answer
    x = 409.86

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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.