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Finding the Fourth Proportional to 850.14, 1,275.20 and 273

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Solution

The fourth proportional to 850.14, 1,275.20 and 273 is: 409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.14 : 1,275.20 = 273 : x
  2. Step 2: Convert to fraction form
    850.14/1,275.20 = 273/x
  3. Step 3: Cross multiply
    850.14x = 1,275.20 × 273
  4. Step 4: Simplify right side
    850.14x = 348,129.60
  5. Step 5: Solve for x
    x = 348,129.60/850.14
  6. Step 6: Final answer
    x = 409.50

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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.