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Finding the Fourth Proportional to 500.68, 752.44 and 295.28

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Solution

The fourth proportional to 500.68, 752.44 and 295.28 is: 443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.68 : 752.44 = 295.28 : x
  2. Step 2: Convert to fraction form
    500.68/752.44 = 295.28/x
  3. Step 3: Cross multiply
    500.68x = 752.44 × 295.28
  4. Step 4: Simplify right side
    500.68x = 222,180.48
  5. Step 5: Solve for x
    x = 222,180.48/500.68
  6. Step 6: Final answer
    x = 443.76

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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.