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Finding the Fourth Proportional to 376.30, 519.65 and 303.16

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Solution

The fourth proportional to 376.30, 519.65 and 303.16 is: 418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.30 : 519.65 = 303.16 : x
  2. Step 2: Convert to fraction form
    376.30/519.65 = 303.16/x
  3. Step 3: Cross multiply
    376.30x = 519.65 × 303.16
  4. Step 4: Simplify right side
    376.30x = 157,537.09
  5. Step 5: Solve for x
    x = 157,537.09/376.30
  6. Step 6: Final answer
    x = 418.65

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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.