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Finding the Fourth Proportional to 496.84, 685.00 and 319.50

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Solution

The fourth proportional to 496.84, 685.00 and 319.50 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.84 : 685.00 = 319.50 : x
  2. Step 2: Convert to fraction form
    496.84/685.00 = 319.50/x
  3. Step 3: Cross multiply
    496.84x = 685.00 × 319.50
  4. Step 4: Simplify right side
    496.84x = 218,856.10
  5. Step 5: Solve for x
    x = 218,856.10/496.84
  6. Step 6: Final answer
    x = 440.50

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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.