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Finding the Fourth Proportional to 380.28, 525.02 and 301.92

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Solution

The fourth proportional to 380.28, 525.02 and 301.92 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 525.02 = 301.92 : x
  2. Step 2: Convert to fraction form
    380.28/525.02 = 301.92/x
  3. Step 3: Cross multiply
    380.28x = 525.02 × 301.92
  4. Step 4: Simplify right side
    380.28x = 158,514.04
  5. Step 5: Solve for x
    x = 158,514.04/380.28
  6. Step 6: Final answer
    x = 416.84

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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.