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Finding the Fourth Proportional to 480.33, 720.79 and 206.42

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Solution

The fourth proportional to 480.33, 720.79 and 206.42 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.33 : 720.79 = 206.42 : x
  2. Step 2: Convert to fraction form
    480.33/720.79 = 206.42/x
  3. Step 3: Cross multiply
    480.33x = 720.79 × 206.42
  4. Step 4: Simplify right side
    480.33x = 148,784.05
  5. Step 5: Solve for x
    x = 148,784.05/480.33
  6. Step 6: Final answer
    x = 309.75

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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.