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Finding the Fourth Proportional to 619.55, 929.17 and 208.67

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Solution

The fourth proportional to 619.55, 929.17 and 208.67 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.55 : 929.17 = 208.67 : x
  2. Step 2: Convert to fraction form
    619.55/929.17 = 208.67/x
  3. Step 3: Cross multiply
    619.55x = 929.17 × 208.67
  4. Step 4: Simplify right side
    619.55x = 193,891.71
  5. Step 5: Solve for x
    x = 193,891.71/619.55
  6. Step 6: Final answer
    x = 312.96

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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.