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Finding the Fourth Proportional to 482.14, 664.04 and 416.62

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Solution

The fourth proportional to 482.14, 664.04 and 416.62 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 664.04 = 416.62 : x
  2. Step 2: Convert to fraction form
    482.14/664.04 = 416.62/x
  3. Step 3: Cross multiply
    482.14x = 664.04 × 416.62
  4. Step 4: Simplify right side
    482.14x = 276,652.34
  5. Step 5: Solve for x
    x = 276,652.34/482.14
  6. Step 6: Final answer
    x = 573.80

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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.