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Finding the Fourth Proportional to 494.42, 682.30 and 284.60

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Solution

The fourth proportional to 494.42, 682.30 and 284.60 is: 392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 682.30 = 284.60 : x
  2. Step 2: Convert to fraction form
    494.42/682.30 = 284.60/x
  3. Step 3: Cross multiply
    494.42x = 682.30 × 284.60
  4. Step 4: Simplify right side
    494.42x = 194,178.46
  5. Step 5: Solve for x
    x = 194,178.46/494.42
  6. Step 6: Final answer
    x = 392.74

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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.