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Finding the Fourth Proportional to 479.77, 719.40 and 205.69

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Solution

The fourth proportional to 479.77, 719.40 and 205.69 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.77 : 719.40 = 205.69 : x
  2. Step 2: Convert to fraction form
    479.77/719.40 = 205.69/x
  3. Step 3: Cross multiply
    479.77x = 719.40 × 205.69
  4. Step 4: Simplify right side
    479.77x = 147,973.39
  5. Step 5: Solve for x
    x = 147,973.39/479.77
  6. Step 6: Final answer
    x = 308.43

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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.