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Finding the Fourth Proportional to 938.78, 1,407.36 and 361.28

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Solution

The fourth proportional to 938.78, 1,407.36 and 361.28 is: 541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.78 : 1,407.36 = 361.28 : x
  2. Step 2: Convert to fraction form
    938.78/1,407.36 = 361.28/x
  3. Step 3: Cross multiply
    938.78x = 1,407.36 × 361.28
  4. Step 4: Simplify right side
    938.78x = 508,451.02
  5. Step 5: Solve for x
    x = 508,451.02/938.78
  6. Step 6: Final answer
    x = 541.61

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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.