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Finding the Fourth Proportional to 383.05, 528.15 and 251.83

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Solution

The fourth proportional to 383.05, 528.15 and 251.83 is: 347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.05 : 528.15 = 251.83 : x
  2. Step 2: Convert to fraction form
    383.05/528.15 = 251.83/x
  3. Step 3: Cross multiply
    383.05x = 528.15 × 251.83
  4. Step 4: Simplify right side
    383.05x = 133,004.01
  5. Step 5: Solve for x
    x = 133,004.01/383.05
  6. Step 6: Final answer
    x = 347.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.