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Finding the Fourth Proportional to 563.46, 777.61 and 327.50

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Solution

The fourth proportional to 563.46, 777.61 and 327.50 is: 451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.46 : 777.61 = 327.50 : x
  2. Step 2: Convert to fraction form
    563.46/777.61 = 327.50/x
  3. Step 3: Cross multiply
    563.46x = 777.61 × 327.50
  4. Step 4: Simplify right side
    563.46x = 254,667.28
  5. Step 5: Solve for x
    x = 254,667.28/563.46
  6. Step 6: Final answer
    x = 451.97

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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.