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Finding the Fourth Proportional to 500.96, 752.28 and 377.57

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Solution

The fourth proportional to 500.96, 752.28 and 377.57 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.96 : 752.28 = 377.57 : x
  2. Step 2: Convert to fraction form
    500.96/752.28 = 377.57/x
  3. Step 3: Cross multiply
    500.96x = 752.28 × 377.57
  4. Step 4: Simplify right side
    500.96x = 284,034.60
  5. Step 5: Solve for x
    x = 284,034.60/500.96
  6. Step 6: Final answer
    x = 566.98

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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.