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Finding the Fourth Proportional to 800.46, 1,200.24 and 313.38

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Solution

The fourth proportional to 800.46, 1,200.24 and 313.38 is: 469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.46 : 1,200.24 = 313.38 : x
  2. Step 2: Convert to fraction form
    800.46/1,200.24 = 313.38/x
  3. Step 3: Cross multiply
    800.46x = 1,200.24 × 313.38
  4. Step 4: Simplify right side
    800.46x = 376,131.21
  5. Step 5: Solve for x
    x = 376,131.21/800.46
  6. Step 6: Final answer
    x = 469.89

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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.