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Finding the Fourth Proportional to 496.35, 685.29 and 463.50

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Solution

The fourth proportional to 496.35, 685.29 and 463.50 is: 639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.35 : 685.29 = 463.50 : x
  2. Step 2: Convert to fraction form
    496.35/685.29 = 463.50/x
  3. Step 3: Cross multiply
    496.35x = 685.29 × 463.50
  4. Step 4: Simplify right side
    496.35x = 317,631.92
  5. Step 5: Solve for x
    x = 317,631.92/496.35
  6. Step 6: Final answer
    x = 639.94

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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.