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Finding the Fourth Proportional to 482.10, 721.26 and 388.80

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Solution

The fourth proportional to 482.10, 721.26 and 388.80 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.10 : 721.26 = 388.80 : x
  2. Step 2: Convert to fraction form
    482.10/721.26 = 388.80/x
  3. Step 3: Cross multiply
    482.10x = 721.26 × 388.80
  4. Step 4: Simplify right side
    482.10x = 280,425.89
  5. Step 5: Solve for x
    x = 280,425.89/482.10
  6. Step 6: Final answer
    x = 581.68

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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.