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Finding the Fourth Proportional to 563.94, 850.44 and 560.30

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Solution

The fourth proportional to 563.94, 850.44 and 560.30 is: 844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.94 : 850.44 = 560.30 : x
  2. Step 2: Convert to fraction form
    563.94/850.44 = 560.30/x
  3. Step 3: Cross multiply
    563.94x = 850.44 × 560.30
  4. Step 4: Simplify right side
    563.94x = 476,497.28
  5. Step 5: Solve for x
    x = 476,497.28/563.94
  6. Step 6: Final answer
    x = 844.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.