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Finding the Fourth Proportional to 423.50, 584.67 and 319.82

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Solution

The fourth proportional to 423.50, 584.67 and 319.82 is: 441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.50 : 584.67 = 319.82 : x
  2. Step 2: Convert to fraction form
    423.50/584.67 = 319.82/x
  3. Step 3: Cross multiply
    423.50x = 584.67 × 319.82
  4. Step 4: Simplify right side
    423.50x = 186,989.16
  5. Step 5: Solve for x
    x = 186,989.16/423.50
  6. Step 6: Final answer
    x = 441.53

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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.