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Finding the Fourth Proportional to 938.09, 1,407.69 and 418.14

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Solution

The fourth proportional to 938.09, 1,407.69 and 418.14 is: 627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.09 : 1,407.69 = 418.14 : x
  2. Step 2: Convert to fraction form
    938.09/1,407.69 = 418.14/x
  3. Step 3: Cross multiply
    938.09x = 1,407.69 × 418.14
  4. Step 4: Simplify right side
    938.09x = 588,611.50
  5. Step 5: Solve for x
    x = 588,611.50/938.09
  6. Step 6: Final answer
    x = 627.46

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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.