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Finding the Fourth Proportional to 500.57, 749.56 and 257.21

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Solution

The fourth proportional to 500.57, 749.56 and 257.21 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.57 : 749.56 = 257.21 : x
  2. Step 2: Convert to fraction form
    500.57/749.56 = 257.21/x
  3. Step 3: Cross multiply
    500.57x = 749.56 × 257.21
  4. Step 4: Simplify right side
    500.57x = 192,794.33
  5. Step 5: Solve for x
    x = 192,794.33/500.57
  6. Step 6: Final answer
    x = 385.15

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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.