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Finding the Fourth Proportional to 497.58, 745.92 and 189.22

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Solution

The fourth proportional to 497.58, 745.92 and 189.22 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 745.92 = 189.22 : x
  2. Step 2: Convert to fraction form
    497.58/745.92 = 189.22/x
  3. Step 3: Cross multiply
    497.58x = 745.92 × 189.22
  4. Step 4: Simplify right side
    497.58x = 141,142.98
  5. Step 5: Solve for x
    x = 141,142.98/497.58
  6. Step 6: Final answer
    x = 283.66

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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.