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Finding the Fourth Proportional to 662.02, 992.67 and 277.18

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Solution

The fourth proportional to 662.02, 992.67 and 277.18 is: 415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.02 : 992.67 = 277.18 : x
  2. Step 2: Convert to fraction form
    662.02/992.67 = 277.18/x
  3. Step 3: Cross multiply
    662.02x = 992.67 × 277.18
  4. Step 4: Simplify right side
    662.02x = 275,148.27
  5. Step 5: Solve for x
    x = 275,148.27/662.02
  6. Step 6: Final answer
    x = 415.62

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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.