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Finding the Fourth Proportional to 800.40, 1,200.96 and 313.48

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Solution

The fourth proportional to 800.40, 1,200.96 and 313.48 is: 470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.40 : 1,200.96 = 313.48 : x
  2. Step 2: Convert to fraction form
    800.40/1,200.96 = 313.48/x
  3. Step 3: Cross multiply
    800.40x = 1,200.96 × 313.48
  4. Step 4: Simplify right side
    800.40x = 376,476.94
  5. Step 5: Solve for x
    x = 376,476.94/800.40
  6. Step 6: Final answer
    x = 470.36

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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.