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Finding the Fourth Proportional to 480.53, 663.09 and 293.96

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Solution

The fourth proportional to 480.53, 663.09 and 293.96 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.53 : 663.09 = 293.96 : x
  2. Step 2: Convert to fraction form
    480.53/663.09 = 293.96/x
  3. Step 3: Cross multiply
    480.53x = 663.09 × 293.96
  4. Step 4: Simplify right side
    480.53x = 194,918.62
  5. Step 5: Solve for x
    x = 194,918.62/480.53
  6. Step 6: Final answer
    x = 405.64

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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.