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Finding the Fourth Proportional to 634.50, 874.77 and 485.22

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Solution

The fourth proportional to 634.50, 874.77 and 485.22 is: 668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 874.77 = 485.22 : x
  2. Step 2: Convert to fraction form
    634.50/874.77 = 485.22/x
  3. Step 3: Cross multiply
    634.50x = 874.77 × 485.22
  4. Step 4: Simplify right side
    634.50x = 424,455.90
  5. Step 5: Solve for x
    x = 424,455.90/634.50
  6. Step 6: Final answer
    x = 668.96

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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.