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Finding the Fourth Proportional to 634.28, 873.17 and 564.23

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Solution

The fourth proportional to 634.28, 873.17 and 564.23 is: 776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.28 : 873.17 = 564.23 : x
  2. Step 2: Convert to fraction form
    634.28/873.17 = 564.23/x
  3. Step 3: Cross multiply
    634.28x = 873.17 × 564.23
  4. Step 4: Simplify right side
    634.28x = 492,661.52
  5. Step 5: Solve for x
    x = 492,661.52/634.28
  6. Step 6: Final answer
    x = 776.73

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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.