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Finding the Fourth Proportional to 938.88, 1,408.16 and 361.80

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Solution

The fourth proportional to 938.88, 1,408.16 and 361.80 is: 542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.88 : 1,408.16 = 361.80 : x
  2. Step 2: Convert to fraction form
    938.88/1,408.16 = 361.80/x
  3. Step 3: Cross multiply
    938.88x = 1,408.16 × 361.80
  4. Step 4: Simplify right side
    938.88x = 509,472.29
  5. Step 5: Solve for x
    x = 509,472.29/938.88
  6. Step 6: Final answer
    x = 542.64

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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.