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Finding the Fourth Proportional to 497.38, 746.14 and 189.22

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Solution

The fourth proportional to 497.38, 746.14 and 189.22 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.38 : 746.14 = 189.22 : x
  2. Step 2: Convert to fraction form
    497.38/746.14 = 189.22/x
  3. Step 3: Cross multiply
    497.38x = 746.14 × 189.22
  4. Step 4: Simplify right side
    497.38x = 141,184.61
  5. Step 5: Solve for x
    x = 141,184.61/497.38
  6. Step 6: Final answer
    x = 283.86

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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.