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Finding the Fourth Proportional to 419.38, 576.82 and 402.37

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Solution

The fourth proportional to 419.38, 576.82 and 402.37 is: 553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.38 : 576.82 = 402.37 : x
  2. Step 2: Convert to fraction form
    419.38/576.82 = 402.37/x
  3. Step 3: Cross multiply
    419.38x = 576.82 × 402.37
  4. Step 4: Simplify right side
    419.38x = 232,094.12
  5. Step 5: Solve for x
    x = 232,094.12/419.38
  6. Step 6: Final answer
    x = 553.43

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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.