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Finding the Fourth Proportional to 564.57, 843.21 and 482.49

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Solution

The fourth proportional to 564.57, 843.21 and 482.49 is: 720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 843.21 = 482.49 : x
  2. Step 2: Convert to fraction form
    564.57/843.21 = 482.49/x
  3. Step 3: Cross multiply
    564.57x = 843.21 × 482.49
  4. Step 4: Simplify right side
    564.57x = 406,840.39
  5. Step 5: Solve for x
    x = 406,840.39/564.57
  6. Step 6: Final answer
    x = 720.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.