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Finding the Fourth Proportional to 852.12, 1,277.10 and 364.68

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Solution

The fourth proportional to 852.12, 1,277.10 and 364.68 is: 546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.12 : 1,277.10 = 364.68 : x
  2. Step 2: Convert to fraction form
    852.12/1,277.10 = 364.68/x
  3. Step 3: Cross multiply
    852.12x = 1,277.10 × 364.68
  4. Step 4: Simplify right side
    852.12x = 465,732.83
  5. Step 5: Solve for x
    x = 465,732.83/852.12
  6. Step 6: Final answer
    x = 546.56

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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.