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Finding the Fourth Proportional to 482.34, 664.96 and 412.09

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Solution

The fourth proportional to 482.34, 664.96 and 412.09 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.34 : 664.96 = 412.09 : x
  2. Step 2: Convert to fraction form
    482.34/664.96 = 412.09/x
  3. Step 3: Cross multiply
    482.34x = 664.96 × 412.09
  4. Step 4: Simplify right side
    482.34x = 274,023.37
  5. Step 5: Solve for x
    x = 274,023.37/482.34
  6. Step 6: Final answer
    x = 568.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.