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Finding the Fourth Proportional to 563.23, 777.25 and 327.16

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Solution

The fourth proportional to 563.23, 777.25 and 327.16 is: 451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.23 : 777.25 = 327.16 : x
  2. Step 2: Convert to fraction form
    563.23/777.25 = 327.16/x
  3. Step 3: Cross multiply
    563.23x = 777.25 × 327.16
  4. Step 4: Simplify right side
    563.23x = 254,285.11
  5. Step 5: Solve for x
    x = 254,285.11/563.23
  6. Step 6: Final answer
    x = 451.48

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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.