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Finding the Fourth Proportional to 479.49, 719.24 and 205.31

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Solution

The fourth proportional to 479.49, 719.24 and 205.31 is: 307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.49 : 719.24 = 205.31 : x
  2. Step 2: Convert to fraction form
    479.49/719.24 = 205.31/x
  3. Step 3: Cross multiply
    479.49x = 719.24 × 205.31
  4. Step 4: Simplify right side
    479.49x = 147,664.08
  5. Step 5: Solve for x
    x = 147,664.08/479.49
  6. Step 6: Final answer
    x = 307.96

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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.