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Finding the Fourth Proportional to 645.21, 889.93 and 396.20

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Solution

The fourth proportional to 645.21, 889.93 and 396.20 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.21 : 889.93 = 396.20 : x
  2. Step 2: Convert to fraction form
    645.21/889.93 = 396.20/x
  3. Step 3: Cross multiply
    645.21x = 889.93 × 396.20
  4. Step 4: Simplify right side
    645.21x = 352,592.99
  5. Step 5: Solve for x
    x = 352,592.99/645.21
  6. Step 6: Final answer
    x = 546.48

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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.