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Finding the Fourth Proportional to 383.58, 575.28 and 123.63

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Solution

The fourth proportional to 383.58, 575.28 and 123.63 is: 185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.58 : 575.28 = 123.63 : x
  2. Step 2: Convert to fraction form
    383.58/575.28 = 123.63/x
  3. Step 3: Cross multiply
    383.58x = 575.28 × 123.63
  4. Step 4: Simplify right side
    383.58x = 71,121.87
  5. Step 5: Solve for x
    x = 71,121.87/383.58
  6. Step 6: Final answer
    x = 185.42

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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.