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Finding the Fourth Proportional to 332.38, 496.06 and 323.74

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Solution

The fourth proportional to 332.38, 496.06 and 323.74 is: 483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.38 : 496.06 = 323.74 : x
  2. Step 2: Convert to fraction form
    332.38/496.06 = 323.74/x
  3. Step 3: Cross multiply
    332.38x = 496.06 × 323.74
  4. Step 4: Simplify right side
    332.38x = 160,594.46
  5. Step 5: Solve for x
    x = 160,594.46/332.38
  6. Step 6: Final answer
    x = 483.17

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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.