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Finding the Fourth Proportional to 480.19, 720.30 and 206.09

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Solution

The fourth proportional to 480.19, 720.30 and 206.09 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.19 : 720.30 = 206.09 : x
  2. Step 2: Convert to fraction form
    480.19/720.30 = 206.09/x
  3. Step 3: Cross multiply
    480.19x = 720.30 × 206.09
  4. Step 4: Simplify right side
    480.19x = 148,445.73
  5. Step 5: Solve for x
    x = 148,445.73/480.19
  6. Step 6: Final answer
    x = 309.14

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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.