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Finding the Fourth Proportional to 649.41, 973.98 and 385.97

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Solution

The fourth proportional to 649.41, 973.98 and 385.97 is: 578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.41 : 973.98 = 385.97 : x
  2. Step 2: Convert to fraction form
    649.41/973.98 = 385.97/x
  3. Step 3: Cross multiply
    649.41x = 973.98 × 385.97
  4. Step 4: Simplify right side
    649.41x = 375,922.19
  5. Step 5: Solve for x
    x = 375,922.19/649.41
  6. Step 6: Final answer
    x = 578.87

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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.