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Finding the Fourth Proportional to 497.66, 746.33 and 189.54

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Solution

The fourth proportional to 497.66, 746.33 and 189.54 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.66 : 746.33 = 189.54 : x
  2. Step 2: Convert to fraction form
    497.66/746.33 = 189.54/x
  3. Step 3: Cross multiply
    497.66x = 746.33 × 189.54
  4. Step 4: Simplify right side
    497.66x = 141,458.44
  5. Step 5: Solve for x
    x = 141,458.44/497.66
  6. Step 6: Final answer
    x = 284.25

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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.