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Finding the Fourth Proportional to 387.21, 579.60 and 364.73

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Solution

The fourth proportional to 387.21, 579.60 and 364.73 is: 545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.21 : 579.60 = 364.73 : x
  2. Step 2: Convert to fraction form
    387.21/579.60 = 364.73/x
  3. Step 3: Cross multiply
    387.21x = 579.60 × 364.73
  4. Step 4: Simplify right side
    387.21x = 211,395.68
  5. Step 5: Solve for x
    x = 211,395.68/387.21
  6. Step 6: Final answer
    x = 545.95

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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.