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Finding the Fourth Proportional to 643.60, 964.86 and 319.33

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Solution

The fourth proportional to 643.60, 964.86 and 319.33 is: 478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.60 : 964.86 = 319.33 : x
  2. Step 2: Convert to fraction form
    643.60/964.86 = 319.33/x
  3. Step 3: Cross multiply
    643.60x = 964.86 × 319.33
  4. Step 4: Simplify right side
    643.60x = 308,108.74
  5. Step 5: Solve for x
    x = 308,108.74/643.60
  6. Step 6: Final answer
    x = 478.73

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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.