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Finding the Fourth Proportional to 376.23, 563.61 and 359.34

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Solution

The fourth proportional to 376.23, 563.61 and 359.34 is: 538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.23 : 563.61 = 359.34 : x
  2. Step 2: Convert to fraction form
    376.23/563.61 = 359.34/x
  3. Step 3: Cross multiply
    376.23x = 563.61 × 359.34
  4. Step 4: Simplify right side
    376.23x = 202,527.62
  5. Step 5: Solve for x
    x = 202,527.62/376.23
  6. Step 6: Final answer
    x = 538.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.