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Finding the Fourth Proportional to 849.62, 1,273.35 and 362.18

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Solution

The fourth proportional to 849.62, 1,273.35 and 362.18 is: 542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.62 : 1,273.35 = 362.18 : x
  2. Step 2: Convert to fraction form
    849.62/1,273.35 = 362.18/x
  3. Step 3: Cross multiply
    849.62x = 1,273.35 × 362.18
  4. Step 4: Simplify right side
    849.62x = 461,181.90
  5. Step 5: Solve for x
    x = 461,181.90/849.62
  6. Step 6: Final answer
    x = 542.81

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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.