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Finding the Fourth Proportional to 849.10, 1,273.28 and 301.02

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Solution

The fourth proportional to 849.10, 1,273.28 and 301.02 is: 451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.10 : 1,273.28 = 301.02 : x
  2. Step 2: Convert to fraction form
    849.10/1,273.28 = 301.02/x
  3. Step 3: Cross multiply
    849.10x = 1,273.28 × 301.02
  4. Step 4: Simplify right side
    849.10x = 383,282.75
  5. Step 5: Solve for x
    x = 383,282.75/849.10
  6. Step 6: Final answer
    x = 451.40

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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.