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Finding the Fourth Proportional to 649.11, 973.44 and 283.85

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Solution

The fourth proportional to 649.11, 973.44 and 283.85 is: 425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.11 : 973.44 = 283.85 : x
  2. Step 2: Convert to fraction form
    649.11/973.44 = 283.85/x
  3. Step 3: Cross multiply
    649.11x = 973.44 × 283.85
  4. Step 4: Simplify right side
    649.11x = 276,316.00
  5. Step 5: Solve for x
    x = 276,316.00/649.11
  6. Step 6: Final answer
    x = 425.68

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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.