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Finding the Fourth Proportional to 850.51, 1,275.63 and 273.25

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Solution

The fourth proportional to 850.51, 1,275.63 and 273.25 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.51 : 1,275.63 = 273.25 : x
  2. Step 2: Convert to fraction form
    850.51/1,275.63 = 273.25/x
  3. Step 3: Cross multiply
    850.51x = 1,275.63 × 273.25
  4. Step 4: Simplify right side
    850.51x = 348,565.90
  5. Step 5: Solve for x
    x = 348,565.90/850.51
  6. Step 6: Final answer
    x = 409.83

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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.