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Finding the Fourth Proportional to 429.25, 644.63 and 319.59

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Solution

The fourth proportional to 429.25, 644.63 and 319.59 is: 479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.25 : 644.63 = 319.59 : x
  2. Step 2: Convert to fraction form
    429.25/644.63 = 319.59/x
  3. Step 3: Cross multiply
    429.25x = 644.63 × 319.59
  4. Step 4: Simplify right side
    429.25x = 206,015.70
  5. Step 5: Solve for x
    x = 206,015.70/429.25
  6. Step 6: Final answer
    x = 479.95

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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.