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Finding the Fourth Proportional to 494.69, 682.63 and 284.86

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Solution

The fourth proportional to 494.69, 682.63 and 284.86 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.69 : 682.63 = 284.86 : x
  2. Step 2: Convert to fraction form
    494.69/682.63 = 284.86/x
  3. Step 3: Cross multiply
    494.69x = 682.63 × 284.86
  4. Step 4: Simplify right side
    494.69x = 194,453.98
  5. Step 5: Solve for x
    x = 194,453.98/494.69
  6. Step 6: Final answer
    x = 393.08

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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.