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Finding the Fourth Proportional to 563.19, 777.21 and 327.20

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Solution

The fourth proportional to 563.19, 777.21 and 327.20 is: 451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.19 : 777.21 = 327.20 : x
  2. Step 2: Convert to fraction form
    563.19/777.21 = 327.20/x
  3. Step 3: Cross multiply
    563.19x = 777.21 × 327.20
  4. Step 4: Simplify right side
    563.19x = 254,299.23
  5. Step 5: Solve for x
    x = 254,299.23/563.19
  6. Step 6: Final answer
    x = 451.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.