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Finding the Fourth Proportional to 563.20, 777.36 and 376.96

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Solution

The fourth proportional to 563.20, 777.36 and 376.96 is: 520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.20 : 777.36 = 376.96 : x
  2. Step 2: Convert to fraction form
    563.20/777.36 = 376.96/x
  3. Step 3: Cross multiply
    563.20x = 777.36 × 376.96
  4. Step 4: Simplify right side
    563.20x = 293,033.63
  5. Step 5: Solve for x
    x = 293,033.63/563.20
  6. Step 6: Final answer
    x = 520.30

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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.