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Finding the Fourth Proportional to 563.40, 777.24 and 327.24

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Solution

The fourth proportional to 563.40, 777.24 and 327.24 is: 451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.40 : 777.24 = 327.24 : x
  2. Step 2: Convert to fraction form
    563.40/777.24 = 327.24/x
  3. Step 3: Cross multiply
    563.40x = 777.24 × 327.24
  4. Step 4: Simplify right side
    563.40x = 254,344.02
  5. Step 5: Solve for x
    x = 254,344.02/563.40
  6. Step 6: Final answer
    x = 451.44

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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.