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Finding the Fourth Proportional to 649.54, 974.31 and 279.26

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Solution

The fourth proportional to 649.54, 974.31 and 279.26 is: 418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 974.31 = 279.26 : x
  2. Step 2: Convert to fraction form
    649.54/974.31 = 279.26/x
  3. Step 3: Cross multiply
    649.54x = 974.31 × 279.26
  4. Step 4: Simplify right side
    649.54x = 272,085.81
  5. Step 5: Solve for x
    x = 272,085.81/649.54
  6. Step 6: Final answer
    x = 418.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.