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Finding the Fourth Proportional to 494.29, 682.13 and 284.47

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Solution

The fourth proportional to 494.29, 682.13 and 284.47 is: 392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.29 : 682.13 = 284.47 : x
  2. Step 2: Convert to fraction form
    494.29/682.13 = 284.47/x
  3. Step 3: Cross multiply
    494.29x = 682.13 × 284.47
  4. Step 4: Simplify right side
    494.29x = 194,045.52
  5. Step 5: Solve for x
    x = 194,045.52/494.29
  6. Step 6: Final answer
    x = 392.57

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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.