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Finding the Fourth Proportional to 920.06, 1,379.70 and 364.68

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Solution

The fourth proportional to 920.06, 1,379.70 and 364.68 is: 546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.06 : 1,379.70 = 364.68 : x
  2. Step 2: Convert to fraction form
    920.06/1,379.70 = 364.68/x
  3. Step 3: Cross multiply
    920.06x = 1,379.70 × 364.68
  4. Step 4: Simplify right side
    920.06x = 503,147.57
  5. Step 5: Solve for x
    x = 503,147.57/920.06
  6. Step 6: Final answer
    x = 546.87

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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.