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Finding the Fourth Proportional to 409.56, 564.64 and 396.82

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Solution

The fourth proportional to 409.56, 564.64 and 396.82 is: 547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 564.64 = 396.82 : x
  2. Step 2: Convert to fraction form
    409.56/564.64 = 396.82/x
  3. Step 3: Cross multiply
    409.56x = 564.64 × 396.82
  4. Step 4: Simplify right side
    409.56x = 224,060.44
  5. Step 5: Solve for x
    x = 224,060.44/409.56
  6. Step 6: Final answer
    x = 547.08

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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.