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Finding the Fourth Proportional to 388.13, 582.27 and 205.47

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Solution

The fourth proportional to 388.13, 582.27 and 205.47 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.13 : 582.27 = 205.47 : x
  2. Step 2: Convert to fraction form
    388.13/582.27 = 205.47/x
  3. Step 3: Cross multiply
    388.13x = 582.27 × 205.47
  4. Step 4: Simplify right side
    388.13x = 119,638.25
  5. Step 5: Solve for x
    x = 119,638.25/388.13
  6. Step 6: Final answer
    x = 308.25

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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.