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Finding the Fourth Proportional to 423.53, 584.31 and 257.68

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Solution

The fourth proportional to 423.53, 584.31 and 257.68 is: 355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.53 : 584.31 = 257.68 : x
  2. Step 2: Convert to fraction form
    423.53/584.31 = 257.68/x
  3. Step 3: Cross multiply
    423.53x = 584.31 × 257.68
  4. Step 4: Simplify right side
    423.53x = 150,566.70
  5. Step 5: Solve for x
    x = 150,566.70/423.53
  6. Step 6: Final answer
    x = 355.51

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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.