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Finding the Fourth Proportional to 850.19, 1,275.37 and 265.21

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Solution

The fourth proportional to 850.19, 1,275.37 and 265.21 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.19 : 1,275.37 = 265.21 : x
  2. Step 2: Convert to fraction form
    850.19/1,275.37 = 265.21/x
  3. Step 3: Cross multiply
    850.19x = 1,275.37 × 265.21
  4. Step 4: Simplify right side
    850.19x = 338,237.03
  5. Step 5: Solve for x
    x = 338,237.03/850.19
  6. Step 6: Final answer
    x = 397.84

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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.