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Finding the Fourth Proportional to 938.45, 1,407.87 and 289.23

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Solution

The fourth proportional to 938.45, 1,407.87 and 289.23 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.45 : 1,407.87 = 289.23 : x
  2. Step 2: Convert to fraction form
    938.45/1,407.87 = 289.23/x
  3. Step 3: Cross multiply
    938.45x = 1,407.87 × 289.23
  4. Step 4: Simplify right side
    938.45x = 407,198.24
  5. Step 5: Solve for x
    x = 407,198.24/938.45
  6. Step 6: Final answer
    x = 433.91

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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.