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Finding the Fourth Proportional to 388.08, 584.24 and 354.60

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Solution

The fourth proportional to 388.08, 584.24 and 354.60 is: 533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 584.24 = 354.60 : x
  2. Step 2: Convert to fraction form
    388.08/584.24 = 354.60/x
  3. Step 3: Cross multiply
    388.08x = 584.24 × 354.60
  4. Step 4: Simplify right side
    388.08x = 207,169.73
  5. Step 5: Solve for x
    x = 207,169.73/388.08
  6. Step 6: Final answer
    x = 533.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.