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Finding the Fourth Proportional to 849.46, 1,273.50 and 362.38

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Solution

The fourth proportional to 849.46, 1,273.50 and 362.38 is: 543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.46 : 1,273.50 = 362.38 : x
  2. Step 2: Convert to fraction form
    849.46/1,273.50 = 362.38/x
  3. Step 3: Cross multiply
    849.46x = 1,273.50 × 362.38
  4. Step 4: Simplify right side
    849.46x = 461,490.93
  5. Step 5: Solve for x
    x = 461,490.93/849.46
  6. Step 6: Final answer
    x = 543.28

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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.