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Finding the Fourth Proportional to 500.62, 750.41 and 192.39

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Solution

The fourth proportional to 500.62, 750.41 and 192.39 is: 288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.62 : 750.41 = 192.39 : x
  2. Step 2: Convert to fraction form
    500.62/750.41 = 192.39/x
  3. Step 3: Cross multiply
    500.62x = 750.41 × 192.39
  4. Step 4: Simplify right side
    500.62x = 144,371.38
  5. Step 5: Solve for x
    x = 144,371.38/500.62
  6. Step 6: Final answer
    x = 288.39

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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.