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Finding the Fourth Proportional to 649.86, 974.79 and 238.99

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Solution

The fourth proportional to 649.86, 974.79 and 238.99 is: 358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.86 : 974.79 = 238.99 : x
  2. Step 2: Convert to fraction form
    649.86/974.79 = 238.99/x
  3. Step 3: Cross multiply
    649.86x = 974.79 × 238.99
  4. Step 4: Simplify right side
    649.86x = 232,965.06
  5. Step 5: Solve for x
    x = 232,965.06/649.86
  6. Step 6: Final answer
    x = 358.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.