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Finding the Fourth Proportional to 619.79, 929.41 and 208.85

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Solution

The fourth proportional to 619.79, 929.41 and 208.85 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.79 : 929.41 = 208.85 : x
  2. Step 2: Convert to fraction form
    619.79/929.41 = 208.85/x
  3. Step 3: Cross multiply
    619.79x = 929.41 × 208.85
  4. Step 4: Simplify right side
    619.79x = 194,102.11
  5. Step 5: Solve for x
    x = 194,102.11/619.79
  6. Step 6: Final answer
    x = 313.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.