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Finding the Fourth Proportional to 465.63, 698.44 and 123.63

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Solution

The fourth proportional to 465.63, 698.44 and 123.63 is: 185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 698.44 = 123.63 : x
  2. Step 2: Convert to fraction form
    465.63/698.44 = 123.63/x
  3. Step 3: Cross multiply
    465.63x = 698.44 × 123.63
  4. Step 4: Simplify right side
    465.63x = 86,344.34
  5. Step 5: Solve for x
    x = 86,344.34/465.63
  6. Step 6: Final answer
    x = 185.44

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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.