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Finding the Fourth Proportional to 912.37, 1,369.22 and 364.71

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Solution

The fourth proportional to 912.37, 1,369.22 and 364.71 is: 547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.37 : 1,369.22 = 364.71 : x
  2. Step 2: Convert to fraction form
    912.37/1,369.22 = 364.71/x
  3. Step 3: Cross multiply
    912.37x = 1,369.22 × 364.71
  4. Step 4: Simplify right side
    912.37x = 499,372.56
  5. Step 5: Solve for x
    x = 499,372.56/912.37
  6. Step 6: Final answer
    x = 547.34

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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.