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Finding the Fourth Proportional to 634.26, 874.59 and 412.80

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Solution

The fourth proportional to 634.26, 874.59 and 412.80 is: 569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.26 : 874.59 = 412.80 : x
  2. Step 2: Convert to fraction form
    634.26/874.59 = 412.80/x
  3. Step 3: Cross multiply
    634.26x = 874.59 × 412.80
  4. Step 4: Simplify right side
    634.26x = 361,030.75
  5. Step 5: Solve for x
    x = 361,030.75/634.26
  6. Step 6: Final answer
    x = 569.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.