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Finding the Fourth Proportional to 500.20, 749.76 and 256.39

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Solution

The fourth proportional to 500.20, 749.76 and 256.39 is: 384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.20 : 749.76 = 256.39 : x
  2. Step 2: Convert to fraction form
    500.20/749.76 = 256.39/x
  3. Step 3: Cross multiply
    500.20x = 749.76 × 256.39
  4. Step 4: Simplify right side
    500.20x = 192,230.97
  5. Step 5: Solve for x
    x = 192,230.97/500.20
  6. Step 6: Final answer
    x = 384.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.