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Finding the Fourth Proportional to 564.72, 847.13 and 174.69

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Solution

The fourth proportional to 564.72, 847.13 and 174.69 is: 262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 847.13 = 174.69 : x
  2. Step 2: Convert to fraction form
    564.72/847.13 = 174.69/x
  3. Step 3: Cross multiply
    564.72x = 847.13 × 174.69
  4. Step 4: Simplify right side
    564.72x = 147,984.27
  5. Step 5: Solve for x
    x = 147,984.27/564.72
  6. Step 6: Final answer
    x = 262.05

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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.