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Finding the Fourth Proportional to 851.28, 1,276.92 and 364.08

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Solution

The fourth proportional to 851.28, 1,276.92 and 364.08 is: 546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.28 : 1,276.92 = 364.08 : x
  2. Step 2: Convert to fraction form
    851.28/1,276.92 = 364.08/x
  3. Step 3: Cross multiply
    851.28x = 1,276.92 × 364.08
  4. Step 4: Simplify right side
    851.28x = 464,901.03
  5. Step 5: Solve for x
    x = 464,901.03/851.28
  6. Step 6: Final answer
    x = 546.12

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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.