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Finding the Fourth Proportional to 376.64, 520.44 and 302.84

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Solution

The fourth proportional to 376.64, 520.44 and 302.84 is: 418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.64 : 520.44 = 302.84 : x
  2. Step 2: Convert to fraction form
    376.64/520.44 = 302.84/x
  3. Step 3: Cross multiply
    376.64x = 520.44 × 302.84
  4. Step 4: Simplify right side
    376.64x = 157,610.05
  5. Step 5: Solve for x
    x = 157,610.05/376.64
  6. Step 6: Final answer
    x = 418.46

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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.