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Finding the Fourth Proportional to 376.40, 518.44 and 356.96

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Solution

The fourth proportional to 376.40, 518.44 and 356.96 is: 491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.40 : 518.44 = 356.96 : x
  2. Step 2: Convert to fraction form
    376.40/518.44 = 356.96/x
  3. Step 3: Cross multiply
    376.40x = 518.44 × 356.96
  4. Step 4: Simplify right side
    376.40x = 185,062.34
  5. Step 5: Solve for x
    x = 185,062.34/376.40
  6. Step 6: Final answer
    x = 491.66

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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.