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Finding the Fourth Proportional to 564.86, 847.37 and 174.89

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Solution

The fourth proportional to 564.86, 847.37 and 174.89 is: 262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.86 : 847.37 = 174.89 : x
  2. Step 2: Convert to fraction form
    564.86/847.37 = 174.89/x
  3. Step 3: Cross multiply
    564.86x = 847.37 × 174.89
  4. Step 4: Simplify right side
    564.86x = 148,198.11
  5. Step 5: Solve for x
    x = 148,198.11/564.86
  6. Step 6: Final answer
    x = 262.36

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Why These Related Problems?

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