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Finding the Fourth Proportional to 387.90, 582.16 and 251.22

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Solution

The fourth proportional to 387.90, 582.16 and 251.22 is: 377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.90 : 582.16 = 251.22 : x
  2. Step 2: Convert to fraction form
    387.90/582.16 = 251.22/x
  3. Step 3: Cross multiply
    387.90x = 582.16 × 251.22
  4. Step 4: Simplify right side
    387.90x = 146,250.24
  5. Step 5: Solve for x
    x = 146,250.24/387.90
  6. Step 6: Final answer
    x = 377.03

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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.