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Finding the Fourth Proportional to 382.56, 572.67 and 273.00

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Solution

The fourth proportional to 382.56, 572.67 and 273.00 is: 408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 572.67 = 273.00 : x
  2. Step 2: Convert to fraction form
    382.56/572.67 = 273.00/x
  3. Step 3: Cross multiply
    382.56x = 572.67 × 273.00
  4. Step 4: Simplify right side
    382.56x = 156,341.06
  5. Step 5: Solve for x
    x = 156,341.06/382.56
  6. Step 6: Final answer
    x = 408.67

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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.