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Finding the Fourth Proportional to 649.28, 974.02 and 238.40

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Solution

The fourth proportional to 649.28, 974.02 and 238.40 is: 357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.28 : 974.02 = 238.40 : x
  2. Step 2: Convert to fraction form
    649.28/974.02 = 238.40/x
  3. Step 3: Cross multiply
    649.28x = 974.02 × 238.40
  4. Step 4: Simplify right side
    649.28x = 232,206.37
  5. Step 5: Solve for x
    x = 232,206.37/649.28
  6. Step 6: Final answer
    x = 357.64

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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.