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Finding the Fourth Proportional to 497.53, 746.34 and 254.26

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Solution

The fourth proportional to 497.53, 746.34 and 254.26 is: 381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.53 : 746.34 = 254.26 : x
  2. Step 2: Convert to fraction form
    497.53/746.34 = 254.26/x
  3. Step 3: Cross multiply
    497.53x = 746.34 × 254.26
  4. Step 4: Simplify right side
    497.53x = 189,764.41
  5. Step 5: Solve for x
    x = 189,764.41/497.53
  6. Step 6: Final answer
    x = 381.41

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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.