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Finding the Fourth Proportional to 619.83, 929.67 and 208.96

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Solution

The fourth proportional to 619.83, 929.67 and 208.96 is: 313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.83 : 929.67 = 208.96 : x
  2. Step 2: Convert to fraction form
    619.83/929.67 = 208.96/x
  3. Step 3: Cross multiply
    619.83x = 929.67 × 208.96
  4. Step 4: Simplify right side
    619.83x = 194,263.84
  5. Step 5: Solve for x
    x = 194,263.84/619.83
  6. Step 6: Final answer
    x = 313.41

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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.