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Finding the Fourth Proportional to 500.36, 746.98 and 445.68

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Solution

The fourth proportional to 500.36, 746.98 and 445.68 is: 665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.36 : 746.98 = 445.68 : x
  2. Step 2: Convert to fraction form
    500.36/746.98 = 445.68/x
  3. Step 3: Cross multiply
    500.36x = 746.98 × 445.68
  4. Step 4: Simplify right side
    500.36x = 332,914.05
  5. Step 5: Solve for x
    x = 332,914.05/500.36
  6. Step 6: Final answer
    x = 665.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.