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Finding the Fourth Proportional to 388.62, 584.10 and 320.58

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Solution

The fourth proportional to 388.62, 584.10 and 320.58 is: 481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.62 : 584.10 = 320.58 : x
  2. Step 2: Convert to fraction form
    388.62/584.10 = 320.58/x
  3. Step 3: Cross multiply
    388.62x = 584.10 × 320.58
  4. Step 4: Simplify right side
    388.62x = 187,250.78
  5. Step 5: Solve for x
    x = 187,250.78/388.62
  6. Step 6: Final answer
    x = 481.84

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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.