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Finding the Fourth Proportional to 457, 630.82 and 273

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Solution

The fourth proportional to 457, 630.82 and 273 is: 376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 630.82 = 273 : x
  2. Step 2: Convert to fraction form
    457/630.82 = 273/x
  3. Step 3: Cross multiply
    457x = 630.82 × 273
  4. Step 4: Simplify right side
    457x = 172,213.86
  5. Step 5: Solve for x
    x = 172,213.86/457
  6. Step 6: Final answer
    x = 376.84

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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.