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Finding the Fourth Proportional to 480.96, 663.98 and 294.48

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Solution

The fourth proportional to 480.96, 663.98 and 294.48 is: 406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.96 : 663.98 = 294.48 : x
  2. Step 2: Convert to fraction form
    480.96/663.98 = 294.48/x
  3. Step 3: Cross multiply
    480.96x = 663.98 × 294.48
  4. Step 4: Simplify right side
    480.96x = 195,527.36
  5. Step 5: Solve for x
    x = 195,527.36/480.96
  6. Step 6: Final answer
    x = 406.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.