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Finding the Fourth Proportional to 480.70, 721.09 and 172.67

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Solution

The fourth proportional to 480.70, 721.09 and 172.67 is: 259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.70 : 721.09 = 172.67 : x
  2. Step 2: Convert to fraction form
    480.70/721.09 = 172.67/x
  3. Step 3: Cross multiply
    480.70x = 721.09 × 172.67
  4. Step 4: Simplify right side
    480.70x = 124,510.75
  5. Step 5: Solve for x
    x = 124,510.75/480.70
  6. Step 6: Final answer
    x = 259.02

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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.