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Finding the Fourth Proportional to 563.05, 776.12 and 422.97

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Solution

The fourth proportional to 563.05, 776.12 and 422.97 is: 583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.05 : 776.12 = 422.97 : x
  2. Step 2: Convert to fraction form
    563.05/776.12 = 422.97/x
  3. Step 3: Cross multiply
    563.05x = 776.12 × 422.97
  4. Step 4: Simplify right side
    563.05x = 328,275.48
  5. Step 5: Solve for x
    x = 328,275.48/563.05
  6. Step 6: Final answer
    x = 583.03

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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.