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Finding the Fourth Proportional to 662.04, 992.25 and 296.73

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Solution

The fourth proportional to 662.04, 992.25 and 296.73 is: 444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.04 : 992.25 = 296.73 : x
  2. Step 2: Convert to fraction form
    662.04/992.25 = 296.73/x
  3. Step 3: Cross multiply
    662.04x = 992.25 × 296.73
  4. Step 4: Simplify right side
    662.04x = 294,430.34
  5. Step 5: Solve for x
    x = 294,430.34/662.04
  6. Step 6: Final answer
    x = 444.73

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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.