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Finding the Fourth Proportional to 938.66, 1,408.20 and 289.46

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Solution

The fourth proportional to 938.66, 1,408.20 and 289.46 is: 434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.66 : 1,408.20 = 289.46 : x
  2. Step 2: Convert to fraction form
    938.66/1,408.20 = 289.46/x
  3. Step 3: Cross multiply
    938.66x = 1,408.20 × 289.46
  4. Step 4: Simplify right side
    938.66x = 407,617.57
  5. Step 5: Solve for x
    x = 407,617.57/938.66
  6. Step 6: Final answer
    x = 434.25

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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.