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Finding the Fourth Proportional to 564.82, 844.97 and 488.61

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Solution

The fourth proportional to 564.82, 844.97 and 488.61 is: 730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 844.97 = 488.61 : x
  2. Step 2: Convert to fraction form
    564.82/844.97 = 488.61/x
  3. Step 3: Cross multiply
    564.82x = 844.97 × 488.61
  4. Step 4: Simplify right side
    564.82x = 412,860.79
  5. Step 5: Solve for x
    x = 412,860.79/564.82
  6. Step 6: Final answer
    x = 730.96

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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.