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Finding the Fourth Proportional to 497.93, 746.90 and 254.31

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Solution

The fourth proportional to 497.93, 746.90 and 254.31 is: 381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.93 : 746.90 = 254.31 : x
  2. Step 2: Convert to fraction form
    497.93/746.90 = 254.31/x
  3. Step 3: Cross multiply
    497.93x = 746.90 × 254.31
  4. Step 4: Simplify right side
    497.93x = 189,942.45
  5. Step 5: Solve for x
    x = 189,942.45/497.93
  6. Step 6: Final answer
    x = 381.46

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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.