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Finding the Fourth Proportional to 494.32, 682.10 and 284.51

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Solution

The fourth proportional to 494.32, 682.10 and 284.51 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.32 : 682.10 = 284.51 : x
  2. Step 2: Convert to fraction form
    494.32/682.10 = 284.51/x
  3. Step 3: Cross multiply
    494.32x = 682.10 × 284.51
  4. Step 4: Simplify right side
    494.32x = 194,064.27
  5. Step 5: Solve for x
    x = 194,064.27/494.32
  6. Step 6: Final answer
    x = 392.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.