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Finding the Fourth Proportional to 619.69, 929.52 and 209.11

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Solution

The fourth proportional to 619.69, 929.52 and 209.11 is: 313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.69 : 929.52 = 209.11 : x
  2. Step 2: Convert to fraction form
    619.69/929.52 = 209.11/x
  3. Step 3: Cross multiply
    619.69x = 929.52 × 209.11
  4. Step 4: Simplify right side
    619.69x = 194,369.60
  5. Step 5: Solve for x
    x = 194,369.60/619.69
  6. Step 6: Final answer
    x = 313.66

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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.