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Finding the Fourth Proportional to 912.45, 1,367.84 and 364.50

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Solution

The fourth proportional to 912.45, 1,367.84 and 364.50 is: 546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.45 : 1,367.84 = 364.50 : x
  2. Step 2: Convert to fraction form
    912.45/1,367.84 = 364.50/x
  3. Step 3: Cross multiply
    912.45x = 1,367.84 × 364.50
  4. Step 4: Simplify right side
    912.45x = 498,575.86
  5. Step 5: Solve for x
    x = 498,575.86/912.45
  6. Step 6: Final answer
    x = 546.41

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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.