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Finding the Fourth Proportional to 479.70, 719.01 and 205.65

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Solution

The fourth proportional to 479.70, 719.01 and 205.65 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.70 : 719.01 = 205.65 : x
  2. Step 2: Convert to fraction form
    479.70/719.01 = 205.65/x
  3. Step 3: Cross multiply
    479.70x = 719.01 × 205.65
  4. Step 4: Simplify right side
    479.70x = 147,863.38
  5. Step 5: Solve for x
    x = 147,863.38/479.70
  6. Step 6: Final answer
    x = 308.24

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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.