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Finding the Fourth Proportional to 496.42, 685.24 and 321.76

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Solution

The fourth proportional to 496.42, 685.24 and 321.76 is: 444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.42 : 685.24 = 321.76 : x
  2. Step 2: Convert to fraction form
    496.42/685.24 = 321.76/x
  3. Step 3: Cross multiply
    496.42x = 685.24 × 321.76
  4. Step 4: Simplify right side
    496.42x = 220,482.82
  5. Step 5: Solve for x
    x = 220,482.82/496.42
  6. Step 6: Final answer
    x = 444.15

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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.