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Finding the Fourth Proportional to 878.49, 1,316.68 and 409.33

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Solution

The fourth proportional to 878.49, 1,316.68 and 409.33 is: 613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.49 : 1,316.68 = 409.33 : x
  2. Step 2: Convert to fraction form
    878.49/1,316.68 = 409.33/x
  3. Step 3: Cross multiply
    878.49x = 1,316.68 × 409.33
  4. Step 4: Simplify right side
    878.49x = 538,947.99
  5. Step 5: Solve for x
    x = 538,947.99/878.49
  6. Step 6: Final answer
    x = 613.50

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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.