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Finding the Fourth Proportional to 497.41, 746.37 and 361.57

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Solution

The fourth proportional to 497.41, 746.37 and 361.57 is: 542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.41 : 746.37 = 361.57 : x
  2. Step 2: Convert to fraction form
    497.41/746.37 = 361.57/x
  3. Step 3: Cross multiply
    497.41x = 746.37 × 361.57
  4. Step 4: Simplify right side
    497.41x = 269,865.00
  5. Step 5: Solve for x
    x = 269,865.00/497.41
  6. Step 6: Final answer
    x = 542.54

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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.