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Finding the Fourth Proportional to 331.74, 457.38 and 320.40

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Solution

The fourth proportional to 331.74, 457.38 and 320.40 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.74 : 457.38 = 320.40 : x
  2. Step 2: Convert to fraction form
    331.74/457.38 = 320.40/x
  3. Step 3: Cross multiply
    331.74x = 457.38 × 320.40
  4. Step 4: Simplify right side
    331.74x = 146,544.55
  5. Step 5: Solve for x
    x = 146,544.55/331.74
  6. Step 6: Final answer
    x = 441.75

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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.