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Finding the Fourth Proportional to 480.14, 720.26 and 206.15

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Solution

The fourth proportional to 480.14, 720.26 and 206.15 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.14 : 720.26 = 206.15 : x
  2. Step 2: Convert to fraction form
    480.14/720.26 = 206.15/x
  3. Step 3: Cross multiply
    480.14x = 720.26 × 206.15
  4. Step 4: Simplify right side
    480.14x = 148,480.57
  5. Step 5: Solve for x
    x = 148,480.57/480.14
  6. Step 6: Final answer
    x = 309.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.