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Finding the Fourth Proportional to 482.68, 664.32 and 441.28

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Solution

The fourth proportional to 482.68, 664.32 and 441.28 is: 607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.68 : 664.32 = 441.28 : x
  2. Step 2: Convert to fraction form
    482.68/664.32 = 441.28/x
  3. Step 3: Cross multiply
    482.68x = 664.32 × 441.28
  4. Step 4: Simplify right side
    482.68x = 293,151.13
  5. Step 5: Solve for x
    x = 293,151.13/482.68
  6. Step 6: Final answer
    x = 607.34

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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.