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Finding the Fourth Proportional to 466.45, 699.40 and 192.23

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Solution

The fourth proportional to 466.45, 699.40 and 192.23 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.45 : 699.40 = 192.23 : x
  2. Step 2: Convert to fraction form
    466.45/699.40 = 192.23/x
  3. Step 3: Cross multiply
    466.45x = 699.40 × 192.23
  4. Step 4: Simplify right side
    466.45x = 134,445.03
  5. Step 5: Solve for x
    x = 134,445.03/466.45
  6. Step 6: Final answer
    x = 288.23

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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.