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Finding the Fourth Proportional to 497.33, 746.36 and 185.26

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Solution

The fourth proportional to 497.33, 746.36 and 185.26 is: 278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.33 : 746.36 = 185.26 : x
  2. Step 2: Convert to fraction form
    497.33/746.36 = 185.26/x
  3. Step 3: Cross multiply
    497.33x = 746.36 × 185.26
  4. Step 4: Simplify right side
    497.33x = 138,272.98
  5. Step 5: Solve for x
    x = 138,272.98/497.33
  6. Step 6: Final answer
    x = 278.03

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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.