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Finding the Fourth Proportional to 494.37, 682.18 and 284.55

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Solution

The fourth proportional to 494.37, 682.18 and 284.55 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.37 : 682.18 = 284.55 : x
  2. Step 2: Convert to fraction form
    494.37/682.18 = 284.55/x
  3. Step 3: Cross multiply
    494.37x = 682.18 × 284.55
  4. Step 4: Simplify right side
    494.37x = 194,111.05
  5. Step 5: Solve for x
    x = 194,111.05/494.37
  6. Step 6: Final answer
    x = 392.64

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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.