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Finding the Fourth Proportional to 564.30, 778.22 and 396.18

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Solution

The fourth proportional to 564.30, 778.22 and 396.18 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.30 : 778.22 = 396.18 : x
  2. Step 2: Convert to fraction form
    564.30/778.22 = 396.18/x
  3. Step 3: Cross multiply
    564.30x = 778.22 × 396.18
  4. Step 4: Simplify right side
    564.30x = 308,315.20
  5. Step 5: Solve for x
    x = 308,315.20/564.30
  6. Step 6: Final answer
    x = 546.37

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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.