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Finding the Fourth Proportional to 376.34, 519.08 and 306.40

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Solution

The fourth proportional to 376.34, 519.08 and 306.40 is: 422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.34 : 519.08 = 306.40 : x
  2. Step 2: Convert to fraction form
    376.34/519.08 = 306.40/x
  3. Step 3: Cross multiply
    376.34x = 519.08 × 306.40
  4. Step 4: Simplify right side
    376.34x = 159,046.11
  5. Step 5: Solve for x
    x = 159,046.11/376.34
  6. Step 6: Final answer
    x = 422.61

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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.