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Finding the Fourth Proportional to 938.24, 1,406.82 and 288.80

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Solution

The fourth proportional to 938.24, 1,406.82 and 288.80 is: 433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.24 : 1,406.82 = 288.80 : x
  2. Step 2: Convert to fraction form
    938.24/1,406.82 = 288.80/x
  3. Step 3: Cross multiply
    938.24x = 1,406.82 × 288.80
  4. Step 4: Simplify right side
    938.24x = 406,289.62
  5. Step 5: Solve for x
    x = 406,289.62/938.24
  6. Step 6: Final answer
    x = 433.03

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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.