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Finding the Fourth Proportional to 378.34, 521.10 and 308.27

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Solution

The fourth proportional to 378.34, 521.10 and 308.27 is: 424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.34 : 521.10 = 308.27 : x
  2. Step 2: Convert to fraction form
    378.34/521.10 = 308.27/x
  3. Step 3: Cross multiply
    378.34x = 521.10 × 308.27
  4. Step 4: Simplify right side
    378.34x = 160,640.80
  5. Step 5: Solve for x
    x = 160,640.80/378.34
  6. Step 6: Final answer
    x = 424.60

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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.