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Finding the Fourth Proportional to 419.62, 578.97 and 244.97

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Solution

The fourth proportional to 419.62, 578.97 and 244.97 is: 338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.62 : 578.97 = 244.97 : x
  2. Step 2: Convert to fraction form
    419.62/578.97 = 244.97/x
  3. Step 3: Cross multiply
    419.62x = 578.97 × 244.97
  4. Step 4: Simplify right side
    419.62x = 141,829.06
  5. Step 5: Solve for x
    x = 141,829.06/419.62
  6. Step 6: Final answer
    x = 338.00

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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.