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Finding the Fourth Proportional to 662.56, 992.96 and 296.80

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Solution

The fourth proportional to 662.56, 992.96 and 296.80 is: 444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.56 : 992.96 = 296.80 : x
  2. Step 2: Convert to fraction form
    662.56/992.96 = 296.80/x
  3. Step 3: Cross multiply
    662.56x = 992.96 × 296.80
  4. Step 4: Simplify right side
    662.56x = 294,710.53
  5. Step 5: Solve for x
    x = 294,710.53/662.56
  6. Step 6: Final answer
    x = 444.81

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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.