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Finding the Fourth Proportional to 617.56, 852.22 and 355.56

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Solution

The fourth proportional to 617.56, 852.22 and 355.56 is: 490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.56 : 852.22 = 355.56 : x
  2. Step 2: Convert to fraction form
    617.56/852.22 = 355.56/x
  3. Step 3: Cross multiply
    617.56x = 852.22 × 355.56
  4. Step 4: Simplify right side
    617.56x = 303,015.34
  5. Step 5: Solve for x
    x = 303,015.34/617.56
  6. Step 6: Final answer
    x = 490.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.