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Finding the Fourth Proportional to 912.38, 1,367.81 and 364.04

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Solution

The fourth proportional to 912.38, 1,367.81 and 364.04 is: 545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.38 : 1,367.81 = 364.04 : x
  2. Step 2: Convert to fraction form
    912.38/1,367.81 = 364.04/x
  3. Step 3: Cross multiply
    912.38x = 1,367.81 × 364.04
  4. Step 4: Simplify right side
    912.38x = 497,930.71
  5. Step 5: Solve for x
    x = 497,930.71/912.38
  6. Step 6: Final answer
    x = 545.75

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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.