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Finding the Fourth Proportional to 500.37, 749.91 and 191.91

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Solution

The fourth proportional to 500.37, 749.91 and 191.91 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.37 : 749.91 = 191.91 : x
  2. Step 2: Convert to fraction form
    500.37/749.91 = 191.91/x
  3. Step 3: Cross multiply
    500.37x = 749.91 × 191.91
  4. Step 4: Simplify right side
    500.37x = 143,915.23
  5. Step 5: Solve for x
    x = 143,915.23/500.37
  6. Step 6: Final answer
    x = 287.62

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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.