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Finding the Fourth Proportional to 331.46, 456.96 and 284.63

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Solution

The fourth proportional to 331.46, 456.96 and 284.63 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.46 : 456.96 = 284.63 : x
  2. Step 2: Convert to fraction form
    331.46/456.96 = 284.63/x
  3. Step 3: Cross multiply
    331.46x = 456.96 × 284.63
  4. Step 4: Simplify right side
    331.46x = 130,063.31
  5. Step 5: Solve for x
    x = 130,063.31/331.46
  6. Step 6: Final answer
    x = 392.40

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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.