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Finding the Fourth Proportional to 419.63, 579.15 and 244.94

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Solution

The fourth proportional to 419.63, 579.15 and 244.94 is: 338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 579.15 = 244.94 : x
  2. Step 2: Convert to fraction form
    419.63/579.15 = 244.94/x
  3. Step 3: Cross multiply
    419.63x = 579.15 × 244.94
  4. Step 4: Simplify right side
    419.63x = 141,854.11
  5. Step 5: Solve for x
    x = 141,854.11/419.63
  6. Step 6: Final answer
    x = 338.05

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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.