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Finding the Fourth Proportional to 479.94, 719.92 and 205.84

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Solution

The fourth proportional to 479.94, 719.92 and 205.84 is: 308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.94 : 719.92 = 205.84 : x
  2. Step 2: Convert to fraction form
    479.94/719.92 = 205.84/x
  3. Step 3: Cross multiply
    479.94x = 719.92 × 205.84
  4. Step 4: Simplify right side
    479.94x = 148,189.10
  5. Step 5: Solve for x
    x = 148,189.10/479.94
  6. Step 6: Final answer
    x = 308.77

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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.