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Finding the Fourth Proportional to 912.26, 1,368.38 and 364.43

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Solution

The fourth proportional to 912.26, 1,368.38 and 364.43 is: 546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.26 : 1,368.38 = 364.43 : x
  2. Step 2: Convert to fraction form
    912.26/1,368.38 = 364.43/x
  3. Step 3: Cross multiply
    912.26x = 1,368.38 × 364.43
  4. Step 4: Simplify right side
    912.26x = 498,683.06
  5. Step 5: Solve for x
    x = 498,683.06/912.26
  6. Step 6: Final answer
    x = 546.64

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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.