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Finding the Fourth Proportional to 378.08, 521.32 and 331.36

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Solution

The fourth proportional to 378.08, 521.32 and 331.36 is: 456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 521.32 = 331.36 : x
  2. Step 2: Convert to fraction form
    378.08/521.32 = 331.36/x
  3. Step 3: Cross multiply
    378.08x = 521.32 × 331.36
  4. Step 4: Simplify right side
    378.08x = 172,744.60
  5. Step 5: Solve for x
    x = 172,744.60/378.08
  6. Step 6: Final answer
    x = 456.90

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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.