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Finding the Fourth Proportional to 423.11, 584.07 and 257.38

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Solution

The fourth proportional to 423.11, 584.07 and 257.38 is: 355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.11 : 584.07 = 257.38 : x
  2. Step 2: Convert to fraction form
    423.11/584.07 = 257.38/x
  3. Step 3: Cross multiply
    423.11x = 584.07 × 257.38
  4. Step 4: Simplify right side
    423.11x = 150,326.96
  5. Step 5: Solve for x
    x = 150,326.96/423.11
  6. Step 6: Final answer
    x = 355.29

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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.