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Finding the Fourth Proportional to 500.75, 752.54 and 295.41

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Solution

The fourth proportional to 500.75, 752.54 and 295.41 is: 443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.75 : 752.54 = 295.41 : x
  2. Step 2: Convert to fraction form
    500.75/752.54 = 295.41/x
  3. Step 3: Cross multiply
    500.75x = 752.54 × 295.41
  4. Step 4: Simplify right side
    500.75x = 222,306.36
  5. Step 5: Solve for x
    x = 222,306.36/500.75
  6. Step 6: Final answer
    x = 443.95

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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.