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Finding the Fourth Proportional to 649.20, 973.82 and 283.99

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Solution

The fourth proportional to 649.20, 973.82 and 283.99 is: 425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.20 : 973.82 = 283.99 : x
  2. Step 2: Convert to fraction form
    649.20/973.82 = 283.99/x
  3. Step 3: Cross multiply
    649.20x = 973.82 × 283.99
  4. Step 4: Simplify right side
    649.20x = 276,555.14
  5. Step 5: Solve for x
    x = 276,555.14/649.20
  6. Step 6: Final answer
    x = 425.99

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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.