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Finding the Fourth Proportional to 878.52, 1,317.84 and 416.22

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Solution

The fourth proportional to 878.52, 1,317.84 and 416.22 is: 624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.52 : 1,317.84 = 416.22 : x
  2. Step 2: Convert to fraction form
    878.52/1,317.84 = 416.22/x
  3. Step 3: Cross multiply
    878.52x = 1,317.84 × 416.22
  4. Step 4: Simplify right side
    878.52x = 548,511.36
  5. Step 5: Solve for x
    x = 548,511.36/878.52
  6. Step 6: Final answer
    x = 624.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.