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Finding the Fourth Proportional to 497.62, 746.51 and 189.62

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Solution

The fourth proportional to 497.62, 746.51 and 189.62 is: 284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.62 : 746.51 = 189.62 : x
  2. Step 2: Convert to fraction form
    497.62/746.51 = 189.62/x
  3. Step 3: Cross multiply
    497.62x = 746.51 × 189.62
  4. Step 4: Simplify right side
    497.62x = 141,553.23
  5. Step 5: Solve for x
    x = 141,553.23/497.62
  6. Step 6: Final answer
    x = 284.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.