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Finding the Fourth Proportional to 494.66, 682.56 and 284.81

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Solution

The fourth proportional to 494.66, 682.56 and 284.81 is: 392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.66 : 682.56 = 284.81 : x
  2. Step 2: Convert to fraction form
    494.66/682.56 = 284.81/x
  3. Step 3: Cross multiply
    494.66x = 682.56 × 284.81
  4. Step 4: Simplify right side
    494.66x = 194,396.50
  5. Step 5: Solve for x
    x = 194,396.50/494.66
  6. Step 6: Final answer
    x = 392.99

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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.