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Finding the Fourth Proportional to 509.67, 762.17 and 379.76

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Solution

The fourth proportional to 509.67, 762.17 and 379.76 is: 567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.67 : 762.17 = 379.76 : x
  2. Step 2: Convert to fraction form
    509.67/762.17 = 379.76/x
  3. Step 3: Cross multiply
    509.67x = 762.17 × 379.76
  4. Step 4: Simplify right side
    509.67x = 289,444.00
  5. Step 5: Solve for x
    x = 289,444.00/509.67
  6. Step 6: Final answer
    x = 567.90

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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.