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Finding the Fourth Proportional to 649.99, 974.98 and 239.12

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Solution

The fourth proportional to 649.99, 974.98 and 239.12 is: 358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.99 : 974.98 = 239.12 : x
  2. Step 2: Convert to fraction form
    649.99/974.98 = 239.12/x
  3. Step 3: Cross multiply
    649.99x = 974.98 × 239.12
  4. Step 4: Simplify right side
    649.99x = 233,136.30
  5. Step 5: Solve for x
    x = 233,136.30/649.99
  6. Step 6: Final answer
    x = 358.68

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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.