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Finding the Fourth Proportional to 423.25, 584.33 and 319.57

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Solution

The fourth proportional to 423.25, 584.33 and 319.57 is: 441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.25 : 584.33 = 319.57 : x
  2. Step 2: Convert to fraction form
    423.25/584.33 = 319.57/x
  3. Step 3: Cross multiply
    423.25x = 584.33 × 319.57
  4. Step 4: Simplify right side
    423.25x = 186,732.74
  5. Step 5: Solve for x
    x = 186,732.74/423.25
  6. Step 6: Final answer
    x = 441.19

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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.