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Finding the Fourth Proportional to 387.93, 582.24 and 205.45

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Solution

The fourth proportional to 387.93, 582.24 and 205.45 is: 308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.93 : 582.24 = 205.45 : x
  2. Step 2: Convert to fraction form
    387.93/582.24 = 205.45/x
  3. Step 3: Cross multiply
    387.93x = 582.24 × 205.45
  4. Step 4: Simplify right side
    387.93x = 119,621.21
  5. Step 5: Solve for x
    x = 119,621.21/387.93
  6. Step 6: Final answer
    x = 308.36

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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.