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Finding the Fourth Proportional to 423.63, 584.66 and 257.85

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Solution

The fourth proportional to 423.63, 584.66 and 257.85 is: 355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.63 : 584.66 = 257.85 : x
  2. Step 2: Convert to fraction form
    423.63/584.66 = 257.85/x
  3. Step 3: Cross multiply
    423.63x = 584.66 × 257.85
  4. Step 4: Simplify right side
    423.63x = 150,754.58
  5. Step 5: Solve for x
    x = 150,754.58/423.63
  6. Step 6: Final answer
    x = 355.86

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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.