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Finding the Fourth Proportional to 563.51, 777.75 and 327.50

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Solution

The fourth proportional to 563.51, 777.75 and 327.50 is: 452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.51 : 777.75 = 327.50 : x
  2. Step 2: Convert to fraction form
    563.51/777.75 = 327.50/x
  3. Step 3: Cross multiply
    563.51x = 777.75 × 327.50
  4. Step 4: Simplify right side
    563.51x = 254,713.13
  5. Step 5: Solve for x
    x = 254,713.13/563.51
  6. Step 6: Final answer
    x = 452.01

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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.