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Finding the Fourth Proportional to 563.49, 777.39 and 397.64

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Solution

The fourth proportional to 563.49, 777.39 and 397.64 is: 548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.49 : 777.39 = 397.64 : x
  2. Step 2: Convert to fraction form
    563.49/777.39 = 397.64/x
  3. Step 3: Cross multiply
    563.49x = 777.39 × 397.64
  4. Step 4: Simplify right side
    563.49x = 309,121.81
  5. Step 5: Solve for x
    x = 309,121.81/563.49
  6. Step 6: Final answer
    x = 548.58

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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.