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Finding the Fourth Proportional to 419.37, 578.67 and 244.68

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Solution

The fourth proportional to 419.37, 578.67 and 244.68 is: 337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.37 : 578.67 = 244.68 : x
  2. Step 2: Convert to fraction form
    419.37/578.67 = 244.68/x
  3. Step 3: Cross multiply
    419.37x = 578.67 × 244.68
  4. Step 4: Simplify right side
    419.37x = 141,588.98
  5. Step 5: Solve for x
    x = 141,588.98/419.37
  6. Step 6: Final answer
    x = 337.62

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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.