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Finding the Fourth Proportional to 496.18, 743.73 and 313.67

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Solution

The fourth proportional to 496.18, 743.73 and 313.67 is: 470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.18 : 743.73 = 313.67 : x
  2. Step 2: Convert to fraction form
    496.18/743.73 = 313.67/x
  3. Step 3: Cross multiply
    496.18x = 743.73 × 313.67
  4. Step 4: Simplify right side
    496.18x = 233,288.24
  5. Step 5: Solve for x
    x = 233,288.24/496.18
  6. Step 6: Final answer
    x = 470.17

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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.