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Finding the Fourth Proportional to 496.63, 685.25 and 319.64

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Solution

The fourth proportional to 496.63, 685.25 and 319.64 is: 441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.63 : 685.25 = 319.64 : x
  2. Step 2: Convert to fraction form
    496.63/685.25 = 319.64/x
  3. Step 3: Cross multiply
    496.63x = 685.25 × 319.64
  4. Step 4: Simplify right side
    496.63x = 219,031.71
  5. Step 5: Solve for x
    x = 219,031.71/496.63
  6. Step 6: Final answer
    x = 441.04

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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.