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Finding the Fourth Proportional to 500.38, 749.55 and 257.38

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Solution

The fourth proportional to 500.38, 749.55 and 257.38 is: 385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 749.55 = 257.38 : x
  2. Step 2: Convert to fraction form
    500.38/749.55 = 257.38/x
  3. Step 3: Cross multiply
    500.38x = 749.55 × 257.38
  4. Step 4: Simplify right side
    500.38x = 192,918.27
  5. Step 5: Solve for x
    x = 192,918.27/500.38
  6. Step 6: Final answer
    x = 385.55

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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.