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Finding the Fourth Proportional to 852.10, 1,277.70 and 364.60

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Solution

The fourth proportional to 852.10, 1,277.70 and 364.60 is: 546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.10 : 1,277.70 = 364.60 : x
  2. Step 2: Convert to fraction form
    852.10/1,277.70 = 364.60/x
  3. Step 3: Cross multiply
    852.10x = 1,277.70 × 364.60
  4. Step 4: Simplify right side
    852.10x = 465,849.42
  5. Step 5: Solve for x
    x = 465,849.42/852.10
  6. Step 6: Final answer
    x = 546.71

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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.