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Finding the Fourth Proportional to 938.63, 1,407.94 and 289.37

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Solution

The fourth proportional to 938.63, 1,407.94 and 289.37 is: 434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.63 : 1,407.94 = 289.37 : x
  2. Step 2: Convert to fraction form
    938.63/1,407.94 = 289.37/x
  3. Step 3: Cross multiply
    938.63x = 1,407.94 × 289.37
  4. Step 4: Simplify right side
    938.63x = 407,410.47
  5. Step 5: Solve for x
    x = 407,410.47/938.63
  6. Step 6: Final answer
    x = 434.05

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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.