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Finding the Fourth Proportional to 563.05, 777.24 and 411.87

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Solution

The fourth proportional to 563.05, 777.24 and 411.87 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.05 : 777.24 = 411.87 : x
  2. Step 2: Convert to fraction form
    563.05/777.24 = 411.87/x
  3. Step 3: Cross multiply
    563.05x = 777.24 × 411.87
  4. Step 4: Simplify right side
    563.05x = 320,121.84
  5. Step 5: Solve for x
    x = 320,121.84/563.05
  6. Step 6: Final answer
    x = 568.55

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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.