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Finding the Fourth Proportional to 423.59, 634.49 and 319.73

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Solution

The fourth proportional to 423.59, 634.49 and 319.73 is: 478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.59 : 634.49 = 319.73 : x
  2. Step 2: Convert to fraction form
    423.59/634.49 = 319.73/x
  3. Step 3: Cross multiply
    423.59x = 634.49 × 319.73
  4. Step 4: Simplify right side
    423.59x = 202,863.89
  5. Step 5: Solve for x
    x = 202,863.89/423.59
  6. Step 6: Final answer
    x = 478.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.