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Finding the Fourth Proportional to 376.30, 563.71 and 294.76

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Solution

The fourth proportional to 376.30, 563.71 and 294.76 is: 441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.30 : 563.71 = 294.76 : x
  2. Step 2: Convert to fraction form
    376.30/563.71 = 294.76/x
  3. Step 3: Cross multiply
    376.30x = 563.71 × 294.76
  4. Step 4: Simplify right side
    376.30x = 166,159.16
  5. Step 5: Solve for x
    x = 166,159.16/376.30
  6. Step 6: Final answer
    x = 441.56

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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.