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Finding the Fourth Proportional to 564.12, 845.34 and 356.04

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Solution

The fourth proportional to 564.12, 845.34 and 356.04 is: 533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.12 : 845.34 = 356.04 : x
  2. Step 2: Convert to fraction form
    564.12/845.34 = 356.04/x
  3. Step 3: Cross multiply
    564.12x = 845.34 × 356.04
  4. Step 4: Simplify right side
    564.12x = 300,974.85
  5. Step 5: Solve for x
    x = 300,974.85/564.12
  6. Step 6: Final answer
    x = 533.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.