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Finding the Fourth Proportional to 649.84, 974.74 and 238.81

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Solution

The fourth proportional to 649.84, 974.74 and 238.81 is: 358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.84 : 974.74 = 238.81 : x
  2. Step 2: Convert to fraction form
    649.84/974.74 = 238.81/x
  3. Step 3: Cross multiply
    649.84x = 974.74 × 238.81
  4. Step 4: Simplify right side
    649.84x = 232,777.66
  5. Step 5: Solve for x
    x = 232,777.66/649.84
  6. Step 6: Final answer
    x = 358.21

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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.