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Finding the Fourth Proportional to 851.08, 1,276.66 and 363.64

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Solution

The fourth proportional to 851.08, 1,276.66 and 363.64 is: 545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.08 : 1,276.66 = 363.64 : x
  2. Step 2: Convert to fraction form
    851.08/1,276.66 = 363.64/x
  3. Step 3: Cross multiply
    851.08x = 1,276.66 × 363.64
  4. Step 4: Simplify right side
    851.08x = 464,244.64
  5. Step 5: Solve for x
    x = 464,244.64/851.08
  6. Step 6: Final answer
    x = 545.48

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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.