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Finding the Fourth Proportional to 858.93, 1,287.91 and 273.82

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Solution

The fourth proportional to 858.93, 1,287.91 and 273.82 is: 410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.93 : 1,287.91 = 273.82 : x
  2. Step 2: Convert to fraction form
    858.93/1,287.91 = 273.82/x
  3. Step 3: Cross multiply
    858.93x = 1,287.91 × 273.82
  4. Step 4: Simplify right side
    858.93x = 352,655.52
  5. Step 5: Solve for x
    x = 352,655.52/858.93
  6. Step 6: Final answer
    x = 410.58

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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.