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Finding the Fourth Proportional to 383.48, 574.34 and 301.03

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Solution

The fourth proportional to 383.48, 574.34 and 301.03 is: 450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.48 : 574.34 = 301.03 : x
  2. Step 2: Convert to fraction form
    383.48/574.34 = 301.03/x
  3. Step 3: Cross multiply
    383.48x = 574.34 × 301.03
  4. Step 4: Simplify right side
    383.48x = 172,892.63
  5. Step 5: Solve for x
    x = 172,892.63/383.48
  6. Step 6: Final answer
    x = 450.85

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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.