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Finding the Fourth Proportional to 419.46, 578.92 and 401

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Solution

The fourth proportional to 419.46, 578.92 and 401 is: 553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.46 : 578.92 = 401 : x
  2. Step 2: Convert to fraction form
    419.46/578.92 = 401/x
  3. Step 3: Cross multiply
    419.46x = 578.92 × 401
  4. Step 4: Simplify right side
    419.46x = 232,146.92
  5. Step 5: Solve for x
    x = 232,146.92/419.46
  6. Step 6: Final answer
    x = 553.44

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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.