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Finding the Fourth Proportional to 938.64, 1,408.14 and 361.50

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Solution

The fourth proportional to 938.64, 1,408.14 and 361.50 is: 542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.64 : 1,408.14 = 361.50 : x
  2. Step 2: Convert to fraction form
    938.64/1,408.14 = 361.50/x
  3. Step 3: Cross multiply
    938.64x = 1,408.14 × 361.50
  4. Step 4: Simplify right side
    938.64x = 509,042.61
  5. Step 5: Solve for x
    x = 509,042.61/938.64
  6. Step 6: Final answer
    x = 542.32

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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.