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Finding the Fourth Proportional to 634.21, 873.94 and 534.63

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Solution

The fourth proportional to 634.21, 873.94 and 534.63 is: 736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.21 : 873.94 = 534.63 : x
  2. Step 2: Convert to fraction form
    634.21/873.94 = 534.63/x
  3. Step 3: Cross multiply
    634.21x = 873.94 × 534.63
  4. Step 4: Simplify right side
    634.21x = 467,234.54
  5. Step 5: Solve for x
    x = 467,234.54/634.21
  6. Step 6: Final answer
    x = 736.72

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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.