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Finding the Fourth Proportional to 649.73, 896.63 and 370.02

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Solution

The fourth proportional to 649.73, 896.63 and 370.02 is: 510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.73 : 896.63 = 370.02 : x
  2. Step 2: Convert to fraction form
    649.73/896.63 = 370.02/x
  3. Step 3: Cross multiply
    649.73x = 896.63 × 370.02
  4. Step 4: Simplify right side
    649.73x = 331,771.03
  5. Step 5: Solve for x
    x = 331,771.03/649.73
  6. Step 6: Final answer
    x = 510.63

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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.