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Finding the Fourth Proportional to 912.65, 1,367.93 and 364.19

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Solution

The fourth proportional to 912.65, 1,367.93 and 364.19 is: 545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.65 : 1,367.93 = 364.19 : x
  2. Step 2: Convert to fraction form
    912.65/1,367.93 = 364.19/x
  3. Step 3: Cross multiply
    912.65x = 1,367.93 × 364.19
  4. Step 4: Simplify right side
    912.65x = 498,177.77
  5. Step 5: Solve for x
    x = 498,177.77/912.65
  6. Step 6: Final answer
    x = 545.86

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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.