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Finding the Fourth Proportional to 497.45, 746.85 and 254.14

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Solution

The fourth proportional to 497.45, 746.85 and 254.14 is: 381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.45 : 746.85 = 254.14 : x
  2. Step 2: Convert to fraction form
    497.45/746.85 = 254.14/x
  3. Step 3: Cross multiply
    497.45x = 746.85 × 254.14
  4. Step 4: Simplify right side
    497.45x = 189,804.46
  5. Step 5: Solve for x
    x = 189,804.46/497.45
  6. Step 6: Final answer
    x = 381.56

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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.