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Finding the Fourth Proportional to 445.60, 614.94 and 279.68

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Solution

The fourth proportional to 445.60, 614.94 and 279.68 is: 385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.60 : 614.94 = 279.68 : x
  2. Step 2: Convert to fraction form
    445.60/614.94 = 279.68/x
  3. Step 3: Cross multiply
    445.60x = 614.94 × 279.68
  4. Step 4: Simplify right side
    445.60x = 171,986.42
  5. Step 5: Solve for x
    x = 171,986.42/445.60
  6. Step 6: Final answer
    x = 385.97

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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.