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Finding the Fourth Proportional to 496.62, 744.60 and 313.77

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Solution

The fourth proportional to 496.62, 744.60 and 313.77 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.62 : 744.60 = 313.77 : x
  2. Step 2: Convert to fraction form
    496.62/744.60 = 313.77/x
  3. Step 3: Cross multiply
    496.62x = 744.60 × 313.77
  4. Step 4: Simplify right side
    496.62x = 233,633.14
  5. Step 5: Solve for x
    x = 233,633.14/496.62
  6. Step 6: Final answer
    x = 470.45

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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.