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Finding the Fourth Proportional to 564.05, 845.24 and 290.31

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Solution

The fourth proportional to 564.05, 845.24 and 290.31 is: 435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 845.24 = 290.31 : x
  2. Step 2: Convert to fraction form
    564.05/845.24 = 290.31/x
  3. Step 3: Cross multiply
    564.05x = 845.24 × 290.31
  4. Step 4: Simplify right side
    564.05x = 245,380.17
  5. Step 5: Solve for x
    x = 245,380.17/564.05
  6. Step 6: Final answer
    x = 435.04

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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.