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Finding the Fourth Proportional to 332.44, 496.39 and 283.84

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Solution

The fourth proportional to 332.44, 496.39 and 283.84 is: 423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.44 : 496.39 = 283.84 : x
  2. Step 2: Convert to fraction form
    332.44/496.39 = 283.84/x
  3. Step 3: Cross multiply
    332.44x = 496.39 × 283.84
  4. Step 4: Simplify right side
    332.44x = 140,895.34
  5. Step 5: Solve for x
    x = 140,895.34/332.44
  6. Step 6: Final answer
    x = 423.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.