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Finding the Fourth Proportional to 387.50, 580.20 and 295.94

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Solution

The fourth proportional to 387.50, 580.20 and 295.94 is: 443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.50 : 580.20 = 295.94 : x
  2. Step 2: Convert to fraction form
    387.50/580.20 = 295.94/x
  3. Step 3: Cross multiply
    387.50x = 580.20 × 295.94
  4. Step 4: Simplify right side
    387.50x = 171,704.39
  5. Step 5: Solve for x
    x = 171,704.39/387.50
  6. Step 6: Final answer
    x = 443.11

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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.