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Finding the Fourth Proportional to 479.77, 719.31 and 205.76

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Solution

The fourth proportional to 479.77, 719.31 and 205.76 is: 308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.77 : 719.31 = 205.76 : x
  2. Step 2: Convert to fraction form
    479.77/719.31 = 205.76/x
  3. Step 3: Cross multiply
    479.77x = 719.31 × 205.76
  4. Step 4: Simplify right side
    479.77x = 148,005.23
  5. Step 5: Solve for x
    x = 148,005.23/479.77
  6. Step 6: Final answer
    x = 308.49

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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.